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Finding the Fourth Proportional to 9,306.14, 12,839.74 and 5,527.41

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Solution

The fourth proportional to 9,306.14, 12,839.74 and 5,527.41 is: 7,626.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.14 : 12,839.74 = 5,527.41 : x
  2. Step 2: Convert to fraction form
    9,306.14/12,839.74 = 5,527.41/x
  3. Step 3: Cross multiply
    9,306.14x = 12,839.74 × 5,527.41
  4. Step 4: Simplify right side
    9,306.14x = 70,970,569.19
  5. Step 5: Solve for x
    x = 70,970,569.19/9,306.14
  6. Step 6: Final answer
    x = 7,626.21

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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.