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Finding the Fourth Proportional to 9,318.92, 13,976.82 and 7,747.65

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Solution

The fourth proportional to 9,318.92, 13,976.82 and 7,747.65 is: 11,620.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,318.92 : 13,976.82 = 7,747.65 : x
  2. Step 2: Convert to fraction form
    9,318.92/13,976.82 = 7,747.65/x
  3. Step 3: Cross multiply
    9,318.92x = 13,976.82 × 7,747.65
  4. Step 4: Simplify right side
    9,318.92x = 108,287,509.47
  5. Step 5: Solve for x
    x = 108,287,509.47/9,318.92
  6. Step 6: Final answer
    x = 11,620.18

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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.