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Finding the Fourth Proportional to 8,702.84, 13,042.47 and 6,351.82

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Solution

The fourth proportional to 8,702.84, 13,042.47 and 6,351.82 is: 9,519.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,702.84 : 13,042.47 = 6,351.82 : x
  2. Step 2: Convert to fraction form
    8,702.84/13,042.47 = 6,351.82/x
  3. Step 3: Cross multiply
    8,702.84x = 13,042.47 × 6,351.82
  4. Step 4: Simplify right side
    8,702.84x = 82,843,377.28
  5. Step 5: Solve for x
    x = 82,843,377.28/8,702.84
  6. Step 6: Final answer
    x = 9,519.12

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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.