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Finding the Fourth Proportional to 6,397.40, 9,589.94 and 2,702.84

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Solution

The fourth proportional to 6,397.40, 9,589.94 and 2,702.84 is: 4,051.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.40 : 9,589.94 = 2,702.84 : x
  2. Step 2: Convert to fraction form
    6,397.40/9,589.94 = 2,702.84/x
  3. Step 3: Cross multiply
    6,397.40x = 9,589.94 × 2,702.84
  4. Step 4: Simplify right side
    6,397.40x = 25,920,073.43
  5. Step 5: Solve for x
    x = 25,920,073.43/6,397.40
  6. Step 6: Final answer
    x = 4,051.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.