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Finding the Fourth Proportional to 6,397.55, 9,590.41 and 5,872.15

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Solution

The fourth proportional to 6,397.55, 9,590.41 and 5,872.15 is: 8,802.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.55 : 9,590.41 = 5,872.15 : x
  2. Step 2: Convert to fraction form
    6,397.55/9,590.41 = 5,872.15/x
  3. Step 3: Cross multiply
    6,397.55x = 9,590.41 × 5,872.15
  4. Step 4: Simplify right side
    6,397.55x = 56,316,287.43
  5. Step 5: Solve for x
    x = 56,316,287.43/6,397.55
  6. Step 6: Final answer
    x = 8,802.80

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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.