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Finding the Fourth Proportional to 6,686.57, 9,227.35 and 3,702.40

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Solution

The fourth proportional to 6,686.57, 9,227.35 and 3,702.40 is: 5,109.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686.57 : 9,227.35 = 3,702.40 : x
  2. Step 2: Convert to fraction form
    6,686.57/9,227.35 = 3,702.40/x
  3. Step 3: Cross multiply
    6,686.57x = 9,227.35 × 3,702.40
  4. Step 4: Simplify right side
    6,686.57x = 34,163,340.64
  5. Step 5: Solve for x
    x = 34,163,340.64/6,686.57
  6. Step 6: Final answer
    x = 5,109.25

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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.