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Finding the Fourth Proportional to 6,250.22, 9,369.12 and 3,478.16

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Solution

The fourth proportional to 6,250.22, 9,369.12 and 3,478.16 is: 5,213.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,250.22 : 9,369.12 = 3,478.16 : x
  2. Step 2: Convert to fraction form
    6,250.22/9,369.12 = 3,478.16/x
  3. Step 3: Cross multiply
    6,250.22x = 9,369.12 × 3,478.16
  4. Step 4: Simplify right side
    6,250.22x = 32,587,298.42
  5. Step 5: Solve for x
    x = 32,587,298.42/6,250.22
  6. Step 6: Final answer
    x = 5,213.78

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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.