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Finding the Fourth Proportional to 9,487.64, 14,229.80 and 2,560.52

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Solution

The fourth proportional to 9,487.64, 14,229.80 and 2,560.52 is: 3,840.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,487.64 : 14,229.80 = 2,560.52 : x
  2. Step 2: Convert to fraction form
    9,487.64/14,229.80 = 2,560.52/x
  3. Step 3: Cross multiply
    9,487.64x = 14,229.80 × 2,560.52
  4. Step 4: Simplify right side
    9,487.64x = 36,435,687.50
  5. Step 5: Solve for x
    x = 36,435,687.50/9,487.64
  6. Step 6: Final answer
    x = 3,840.33

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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.