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Finding the Fourth Proportional to 9,249.48, 12,766.65 and 5,710.65

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Solution

The fourth proportional to 9,249.48, 12,766.65 and 5,710.65 is: 7,882.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,249.48 : 12,766.65 = 5,710.65 : x
  2. Step 2: Convert to fraction form
    9,249.48/12,766.65 = 5,710.65/x
  3. Step 3: Cross multiply
    9,249.48x = 12,766.65 × 5,710.65
  4. Step 4: Simplify right side
    9,249.48x = 72,905,869.82
  5. Step 5: Solve for x
    x = 72,905,869.82/9,249.48
  6. Step 6: Final answer
    x = 7,882.16

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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.