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Finding the Fourth Proportional to 9,294.41, 12,825.42 and 5,516.91

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Solution

The fourth proportional to 9,294.41, 12,825.42 and 5,516.91 is: 7,612.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.41 : 12,825.42 = 5,516.91 : x
  2. Step 2: Convert to fraction form
    9,294.41/12,825.42 = 5,516.91/x
  3. Step 3: Cross multiply
    9,294.41x = 12,825.42 × 5,516.91
  4. Step 4: Simplify right side
    9,294.41x = 70,756,687.85
  5. Step 5: Solve for x
    x = 70,756,687.85/9,294.41
  6. Step 6: Final answer
    x = 7,612.83

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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.