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Finding the Fourth Proportional to 6,686.59, 9,227.51 and 3,702.55

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Solution

The fourth proportional to 6,686.59, 9,227.51 and 3,702.55 is: 5,109.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686.59 : 9,227.51 = 3,702.55 : x
  2. Step 2: Convert to fraction form
    6,686.59/9,227.51 = 3,702.55/x
  3. Step 3: Cross multiply
    6,686.59x = 9,227.51 × 3,702.55
  4. Step 4: Simplify right side
    6,686.59x = 34,165,317.15
  5. Step 5: Solve for x
    x = 34,165,317.15/6,686.59
  6. Step 6: Final answer
    x = 5,109.53

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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.