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Finding the Fourth Proportional to 9,159.42, 13,746.42 and 3,614.16

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Solution

The fourth proportional to 9,159.42, 13,746.42 and 3,614.16 is: 5,424.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,159.42 : 13,746.42 = 3,614.16 : x
  2. Step 2: Convert to fraction form
    9,159.42/13,746.42 = 3,614.16/x
  3. Step 3: Cross multiply
    9,159.42x = 13,746.42 × 3,614.16
  4. Step 4: Simplify right side
    9,159.42x = 49,681,761.31
  5. Step 5: Solve for x
    x = 49,681,761.31/9,159.42
  6. Step 6: Final answer
    x = 5,424.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.