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Finding the Fourth Proportional to 6,440.18, 9,647.26 and 5,397.24

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Solution

The fourth proportional to 6,440.18, 9,647.26 and 5,397.24 is: 8,084.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,440.18 : 9,647.26 = 5,397.24 : x
  2. Step 2: Convert to fraction form
    6,440.18/9,647.26 = 5,397.24/x
  3. Step 3: Cross multiply
    6,440.18x = 9,647.26 × 5,397.24
  4. Step 4: Simplify right side
    6,440.18x = 52,068,577.56
  5. Step 5: Solve for x
    x = 52,068,577.56/6,440.18
  6. Step 6: Final answer
    x = 8,084.96

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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.