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Finding the Fourth Proportional to 6,686.54, 9,227.88 and 3,702.50

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Solution

The fourth proportional to 6,686.54, 9,227.88 and 3,702.50 is: 5,109.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686.54 : 9,227.88 = 3,702.50 : x
  2. Step 2: Convert to fraction form
    6,686.54/9,227.88 = 3,702.50/x
  3. Step 3: Cross multiply
    6,686.54x = 9,227.88 × 3,702.50
  4. Step 4: Simplify right side
    6,686.54x = 34,166,179.56
  5. Step 5: Solve for x
    x = 34,166,179.56/6,686.54
  6. Step 6: Final answer
    x = 5,109.70

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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.