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Finding the Fourth Proportional to 6,211.64, 9,309.20 and 4,560.44

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Solution

The fourth proportional to 6,211.64, 9,309.20 and 4,560.44 is: 6,834.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,211.64 : 9,309.20 = 4,560.44 : x
  2. Step 2: Convert to fraction form
    6,211.64/9,309.20 = 4,560.44/x
  3. Step 3: Cross multiply
    6,211.64x = 9,309.20 × 4,560.44
  4. Step 4: Simplify right side
    6,211.64x = 42,454,048.05
  5. Step 5: Solve for x
    x = 42,454,048.05/6,211.64
  6. Step 6: Final answer
    x = 6,834.60

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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.