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Finding the Fourth Proportional to 6,686.64, 9,227.40 and 3,702.42

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Solution

The fourth proportional to 6,686.64, 9,227.40 and 3,702.42 is: 5,109.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686.64 : 9,227.40 = 3,702.42 : x
  2. Step 2: Convert to fraction form
    6,686.64/9,227.40 = 3,702.42/x
  3. Step 3: Cross multiply
    6,686.64x = 9,227.40 × 3,702.42
  4. Step 4: Simplify right side
    6,686.64x = 34,163,710.31
  5. Step 5: Solve for x
    x = 34,163,710.31/6,686.64
  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.