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Finding the Fourth Proportional to 9,702.74, 14,572.58 and 6,030.64

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Solution

The fourth proportional to 9,702.74, 14,572.58 and 6,030.64 is: 9,057.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.74 : 14,572.58 = 6,030.64 : x
  2. Step 2: Convert to fraction form
    9,702.74/14,572.58 = 6,030.64/x
  3. Step 3: Cross multiply
    9,702.74x = 14,572.58 × 6,030.64
  4. Step 4: Simplify right side
    9,702.74x = 87,881,983.85
  5. Step 5: Solve for x
    x = 87,881,983.85/9,702.74
  6. Step 6: Final answer
    x = 9,057.44

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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.