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Finding the Fourth Proportional to 6,467.40, 9,702.18 and 2,306.43

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Solution

The fourth proportional to 6,467.40, 9,702.18 and 2,306.43 is: 3,460.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.40 : 9,702.18 = 2,306.43 : x
  2. Step 2: Convert to fraction form
    6,467.40/9,702.18 = 2,306.43/x
  3. Step 3: Cross multiply
    6,467.40x = 9,702.18 × 2,306.43
  4. Step 4: Simplify right side
    6,467.40x = 22,377,399.02
  5. Step 5: Solve for x
    x = 22,377,399.02/6,467.40
  6. Step 6: Final answer
    x = 3,460.03

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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.