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Finding the Fourth Proportional to 6,344.79, 9,505.27 and 5,311.41

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Solution

The fourth proportional to 6,344.79, 9,505.27 and 5,311.41 is: 7,957.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344.79 : 9,505.27 = 5,311.41 : x
  2. Step 2: Convert to fraction form
    6,344.79/9,505.27 = 5,311.41/x
  3. Step 3: Cross multiply
    6,344.79x = 9,505.27 × 5,311.41
  4. Step 4: Simplify right side
    6,344.79x = 50,486,386.13
  5. Step 5: Solve for x
    x = 50,486,386.13/6,344.79
  6. Step 6: Final answer
    x = 7,957.14

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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.