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Finding the Fourth Proportional to 6,232.55, 9,354.90 and 3,116.08

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Solution

The fourth proportional to 6,232.55, 9,354.90 and 3,116.08 is: 4,677.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.55 : 9,354.90 = 3,116.08 : x
  2. Step 2: Convert to fraction form
    6,232.55/9,354.90 = 3,116.08/x
  3. Step 3: Cross multiply
    6,232.55x = 9,354.90 × 3,116.08
  4. Step 4: Simplify right side
    6,232.55x = 29,150,616.79
  5. Step 5: Solve for x
    x = 29,150,616.79/6,232.55
  6. Step 6: Final answer
    x = 4,677.16

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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.