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Finding the Fourth Proportional to 6,311.25, 9,469.56 and 2,616.17

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Solution

The fourth proportional to 6,311.25, 9,469.56 and 2,616.17 is: 3,925.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.25 : 9,469.56 = 2,616.17 : x
  2. Step 2: Convert to fraction form
    6,311.25/9,469.56 = 2,616.17/x
  3. Step 3: Cross multiply
    6,311.25x = 9,469.56 × 2,616.17
  4. Step 4: Simplify right side
    6,311.25x = 24,773,931.44
  5. Step 5: Solve for x
    x = 24,773,931.44/6,311.25
  6. Step 6: Final answer
    x = 3,925.36

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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.