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Finding the Fourth Proportional to 7,042.35, 9,737.24 and 6,167.55

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Solution

The fourth proportional to 7,042.35, 9,737.24 and 6,167.55 is: 8,527.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,042.35 : 9,737.24 = 6,167.55 : x
  2. Step 2: Convert to fraction form
    7,042.35/9,737.24 = 6,167.55/x
  3. Step 3: Cross multiply
    7,042.35x = 9,737.24 × 6,167.55
  4. Step 4: Simplify right side
    7,042.35x = 60,054,883.72
  5. Step 5: Solve for x
    x = 60,054,883.72/7,042.35
  6. Step 6: Final answer
    x = 8,527.68

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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.