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Finding the Fourth Proportional to 9,414.59, 12,986.73 and 5,871.65

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Solution

The fourth proportional to 9,414.59, 12,986.73 and 5,871.65 is: 8,099.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.59 : 12,986.73 = 5,871.65 : x
  2. Step 2: Convert to fraction form
    9,414.59/12,986.73 = 5,871.65/x
  3. Step 3: Cross multiply
    9,414.59x = 12,986.73 × 5,871.65
  4. Step 4: Simplify right side
    9,414.59x = 76,253,468.27
  5. Step 5: Solve for x
    x = 76,253,468.27/9,414.59
  6. Step 6: Final answer
    x = 8,099.50

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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.