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Finding the Fourth Proportional to 6,702.46, 9,248.76 and 3,869.62

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Solution

The fourth proportional to 6,702.46, 9,248.76 and 3,869.62 is: 5,339.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702.46 : 9,248.76 = 3,869.62 : x
  2. Step 2: Convert to fraction form
    6,702.46/9,248.76 = 3,869.62/x
  3. Step 3: Cross multiply
    6,702.46x = 9,248.76 × 3,869.62
  4. Step 4: Simplify right side
    6,702.46x = 35,789,186.67
  5. Step 5: Solve for x
    x = 35,789,186.67/6,702.46
  6. Step 6: Final answer
    x = 5,339.71

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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.