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Finding the Fourth Proportional to 6,294.06, 9,442.02 and 2,344.32

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Solution

The fourth proportional to 6,294.06, 9,442.02 and 2,344.32 is: 3,516.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.06 : 9,442.02 = 2,344.32 : x
  2. Step 2: Convert to fraction form
    6,294.06/9,442.02 = 2,344.32/x
  3. Step 3: Cross multiply
    6,294.06x = 9,442.02 × 2,344.32
  4. Step 4: Simplify right side
    6,294.06x = 22,135,116.33
  5. Step 5: Solve for x
    x = 22,135,116.33/6,294.06
  6. Step 6: Final answer
    x = 3,516.83

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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.