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Finding the Fourth Proportional to 9,938.72, 13,709.76 and 6,160.16

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Solution

The fourth proportional to 9,938.72, 13,709.76 and 6,160.16 is: 8,497.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,938.72 : 13,709.76 = 6,160.16 : x
  2. Step 2: Convert to fraction form
    9,938.72/13,709.76 = 6,160.16/x
  3. Step 3: Cross multiply
    9,938.72x = 13,709.76 × 6,160.16
  4. Step 4: Simplify right side
    9,938.72x = 84,454,315.16
  5. Step 5: Solve for x
    x = 84,454,315.16/9,938.72
  6. Step 6: Final answer
    x = 8,497.50

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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.