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Finding the Fourth Proportional to 9,135.10, 13,702.65 and 2,562.40

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Solution

The fourth proportional to 9,135.10, 13,702.65 and 2,562.40 is: 3,843.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,135.10 : 13,702.65 = 2,562.40 : x
  2. Step 2: Convert to fraction form
    9,135.10/13,702.65 = 2,562.40/x
  3. Step 3: Cross multiply
    9,135.10x = 13,702.65 × 2,562.40
  4. Step 4: Simplify right side
    9,135.10x = 35,111,670.36
  5. Step 5: Solve for x
    x = 35,111,670.36/9,135.10
  6. Step 6: Final answer
    x = 3,843.60

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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.