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Finding the Fourth Proportional to 9,141.71, 12,616.91 and 5,366.96

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Solution

The fourth proportional to 9,141.71, 12,616.91 and 5,366.96 is: 7,407.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.71 : 12,616.91 = 5,366.96 : x
  2. Step 2: Convert to fraction form
    9,141.71/12,616.91 = 5,366.96/x
  3. Step 3: Cross multiply
    9,141.71x = 12,616.91 × 5,366.96
  4. Step 4: Simplify right side
    9,141.71x = 67,714,377.15
  5. Step 5: Solve for x
    x = 67,714,377.15/9,141.71
  6. Step 6: Final answer
    x = 7,407.19

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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.