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Finding the Fourth Proportional to 9,029.52, 13,544.28 and 3,831.75

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Solution

The fourth proportional to 9,029.52, 13,544.28 and 3,831.75 is: 5,747.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,029.52 : 13,544.28 = 3,831.75 : x
  2. Step 2: Convert to fraction form
    9,029.52/13,544.28 = 3,831.75/x
  3. Step 3: Cross multiply
    9,029.52x = 13,544.28 × 3,831.75
  4. Step 4: Simplify right side
    9,029.52x = 51,898,294.89
  5. Step 5: Solve for x
    x = 51,898,294.89/9,029.52
  6. Step 6: Final answer
    x = 5,747.63

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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.