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Finding the Fourth Proportional to 9,538.97, 13,156.43 and 7,295.27

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Solution

The fourth proportional to 9,538.97, 13,156.43 and 7,295.27 is: 10,061.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,538.97 : 13,156.43 = 7,295.27 : x
  2. Step 2: Convert to fraction form
    9,538.97/13,156.43 = 7,295.27/x
  3. Step 3: Cross multiply
    9,538.97x = 13,156.43 × 7,295.27
  4. Step 4: Simplify right side
    9,538.97x = 95,979,606.83
  5. Step 5: Solve for x
    x = 95,979,606.83/9,538.97
  6. Step 6: Final answer
    x = 10,061.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.