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Finding the Fourth Proportional to 9,141.96, 12,614.32 and 5,162.97

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Solution

The fourth proportional to 9,141.96, 12,614.32 and 5,162.97 is: 7,124.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.96 : 12,614.32 = 5,162.97 : x
  2. Step 2: Convert to fraction form
    9,141.96/12,614.32 = 5,162.97/x
  3. Step 3: Cross multiply
    9,141.96x = 12,614.32 × 5,162.97
  4. Step 4: Simplify right side
    9,141.96x = 65,127,329.92
  5. Step 5: Solve for x
    x = 65,127,329.92/9,141.96
  6. Step 6: Final answer
    x = 7,124.00

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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.