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Finding the Fourth Proportional to 6,397.61, 9,590.25 and 3,279.09

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Solution

The fourth proportional to 6,397.61, 9,590.25 and 3,279.09 is: 4,915.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.61 : 9,590.25 = 3,279.09 : x
  2. Step 2: Convert to fraction form
    6,397.61/9,590.25 = 3,279.09/x
  3. Step 3: Cross multiply
    6,397.61x = 9,590.25 × 3,279.09
  4. Step 4: Simplify right side
    6,397.61x = 31,447,292.87
  5. Step 5: Solve for x
    x = 31,447,292.87/6,397.61
  6. Step 6: Final answer
    x = 4,915.48

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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.