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Finding the Fourth Proportional to 6,311.88, 9,452.24 and 4,705.18

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Solution

The fourth proportional to 6,311.88, 9,452.24 and 4,705.18 is: 7,046.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.88 : 9,452.24 = 4,705.18 : x
  2. Step 2: Convert to fraction form
    6,311.88/9,452.24 = 4,705.18/x
  3. Step 3: Cross multiply
    6,311.88x = 9,452.24 × 4,705.18
  4. Step 4: Simplify right side
    6,311.88x = 44,474,490.60
  5. Step 5: Solve for x
    x = 44,474,490.60/6,311.88
  6. Step 6: Final answer
    x = 7,046.16

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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.