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Finding the Fourth Proportional to 6,744.27, 9,312.98 and 4,230.71

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Solution

The fourth proportional to 6,744.27, 9,312.98 and 4,230.71 is: 5,842.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,744.27 : 9,312.98 = 4,230.71 : x
  2. Step 2: Convert to fraction form
    6,744.27/9,312.98 = 4,230.71/x
  3. Step 3: Cross multiply
    6,744.27x = 9,312.98 × 4,230.71
  4. Step 4: Simplify right side
    6,744.27x = 39,400,449.90
  5. Step 5: Solve for x
    x = 39,400,449.90/6,744.27
  6. Step 6: Final answer
    x = 5,842.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.