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Finding the Fourth Proportional to 9,223.53, 13,840.07 and 4,291.71

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Solution

The fourth proportional to 9,223.53, 13,840.07 and 4,291.71 is: 6,439.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223.53 : 13,840.07 = 4,291.71 : x
  2. Step 2: Convert to fraction form
    9,223.53/13,840.07 = 4,291.71/x
  3. Step 3: Cross multiply
    9,223.53x = 13,840.07 × 4,291.71
  4. Step 4: Simplify right side
    9,223.53x = 59,397,545.36
  5. Step 5: Solve for x
    x = 59,397,545.36/9,223.53
  6. Step 6: Final answer
    x = 6,439.78

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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.