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Finding the Fourth Proportional to 7,042.61, 9,718.67 and 3,898.82

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Solution

The fourth proportional to 7,042.61, 9,718.67 and 3,898.82 is: 5,380.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,042.61 : 9,718.67 = 3,898.82 : x
  2. Step 2: Convert to fraction form
    7,042.61/9,718.67 = 3,898.82/x
  3. Step 3: Cross multiply
    7,042.61x = 9,718.67 × 3,898.82
  4. Step 4: Simplify right side
    7,042.61x = 37,891,325.48
  5. Step 5: Solve for x
    x = 37,891,325.48/7,042.61
  6. Step 6: Final answer
    x = 5,380.30

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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.