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Finding the Fourth Proportional to 6,244.56, 9,364.96 and 5,146.20

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Solution

The fourth proportional to 6,244.56, 9,364.96 and 5,146.20 is: 7,717.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,244.56 : 9,364.96 = 5,146.20 : x
  2. Step 2: Convert to fraction form
    6,244.56/9,364.96 = 5,146.20/x
  3. Step 3: Cross multiply
    6,244.56x = 9,364.96 × 5,146.20
  4. Step 4: Simplify right side
    6,244.56x = 48,193,957.15
  5. Step 5: Solve for x
    x = 48,193,957.15/6,244.56
  6. Step 6: Final answer
    x = 7,717.75

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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.