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Finding the Fourth Proportional to 9,152.48, 13,729.62 and 4,223.53

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Solution

The fourth proportional to 9,152.48, 13,729.62 and 4,223.53 is: 6,335.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152.48 : 13,729.62 = 4,223.53 : x
  2. Step 2: Convert to fraction form
    9,152.48/13,729.62 = 4,223.53/x
  3. Step 3: Cross multiply
    9,152.48x = 13,729.62 × 4,223.53
  4. Step 4: Simplify right side
    9,152.48x = 57,987,417.73
  5. Step 5: Solve for x
    x = 57,987,417.73/9,152.48
  6. Step 6: Final answer
    x = 6,335.71

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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.