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Finding the Fourth Proportional to 6,702.12, 9,248.92 and 4,049.03

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Solution

The fourth proportional to 6,702.12, 9,248.92 and 4,049.03 is: 5,587.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702.12 : 9,248.92 = 4,049.03 : x
  2. Step 2: Convert to fraction form
    6,702.12/9,248.92 = 4,049.03/x
  3. Step 3: Cross multiply
    6,702.12x = 9,248.92 × 4,049.03
  4. Step 4: Simplify right side
    6,702.12x = 37,449,167.55
  5. Step 5: Solve for x
    x = 37,449,167.55/6,702.12
  6. Step 6: Final answer
    x = 5,587.66

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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.