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Finding the Fourth Proportional to 7,042.66, 9,697.17 and 6,255.34

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Solution

The fourth proportional to 7,042.66, 9,697.17 and 6,255.34 is: 8,613.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,042.66 : 9,697.17 = 6,255.34 : x
  2. Step 2: Convert to fraction form
    7,042.66/9,697.17 = 6,255.34/x
  3. Step 3: Cross multiply
    7,042.66x = 9,697.17 × 6,255.34
  4. Step 4: Simplify right side
    7,042.66x = 60,659,095.39
  5. Step 5: Solve for x
    x = 60,659,095.39/7,042.66
  6. Step 6: Final answer
    x = 8,613.09

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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.