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Finding the Fourth Proportional to 7,065.48, 9,744.52 and 5,369.61

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Solution

The fourth proportional to 7,065.48, 9,744.52 and 5,369.61 is: 7,405.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,065.48 : 9,744.52 = 5,369.61 : x
  2. Step 2: Convert to fraction form
    7,065.48/9,744.52 = 5,369.61/x
  3. Step 3: Cross multiply
    7,065.48x = 9,744.52 × 5,369.61
  4. Step 4: Simplify right side
    7,065.48x = 52,324,272.04
  5. Step 5: Solve for x
    x = 52,324,272.04/7,065.48
  6. Step 6: Final answer
    x = 7,405.62

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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.