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Finding the Fourth Proportional to 9,879,702.90, 14,795,636.40 and 6,838,548.18

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Solution

The fourth proportional to 9,879,702.90, 14,795,636.40 and 6,838,548.18 is: 10,241,266.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,879,702.90 : 14,795,636.40 = 6,838,548.18 : x
  2. Step 2: Convert to fraction form
    9,879,702.90/14,795,636.40 = 6,838,548.18/x
  3. Step 3: Cross multiply
    9,879,702.90x = 14,795,636.40 × 6,838,548.18
  4. Step 4: Simplify right side
    9,879,702.90x = 101,180,672,375,161.75
  5. Step 5: Solve for x
    x = 101,180,672,375,161.75/9,879,702.90
  6. Step 6: Final answer
    x = 10,241,266.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.