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Finding the Fourth Proportional to 9,277.29, 13,909.19 and 3,432.87

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Solution

The fourth proportional to 9,277.29, 13,909.19 and 3,432.87 is: 5,146.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277.29 : 13,909.19 = 3,432.87 : x
  2. Step 2: Convert to fraction form
    9,277.29/13,909.19 = 3,432.87/x
  3. Step 3: Cross multiply
    9,277.29x = 13,909.19 × 3,432.87
  4. Step 4: Simplify right side
    9,277.29x = 47,748,423.91
  5. Step 5: Solve for x
    x = 47,748,423.91/9,277.29
  6. Step 6: Final answer
    x = 5,146.81

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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.