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Finding the Fourth Proportional to 9,023.87, 12,441.52 and 5,831.75

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Solution

The fourth proportional to 9,023.87, 12,441.52 and 5,831.75 is: 8,040.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,023.87 : 12,441.52 = 5,831.75 : x
  2. Step 2: Convert to fraction form
    9,023.87/12,441.52 = 5,831.75/x
  3. Step 3: Cross multiply
    9,023.87x = 12,441.52 × 5,831.75
  4. Step 4: Simplify right side
    9,023.87x = 72,555,834.26
  5. Step 5: Solve for x
    x = 72,555,834.26/9,023.87
  6. Step 6: Final answer
    x = 8,040.43

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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.