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Finding the Fourth Proportional to 10,393.23, 15,646.02 and 9,489.27

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Solution

The fourth proportional to 10,393.23, 15,646.02 and 9,489.27 is: 14,285.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,393.23 : 15,646.02 = 9,489.27 : x
  2. Step 2: Convert to fraction form
    10,393.23/15,646.02 = 9,489.27/x
  3. Step 3: Cross multiply
    10,393.23x = 15,646.02 × 9,489.27
  4. Step 4: Simplify right side
    10,393.23x = 148,469,308.21
  5. Step 5: Solve for x
    x = 148,469,308.21/10,393.23
  6. Step 6: Final answer
    x = 14,285.19

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.