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Finding the Fourth Proportional to 9,831.90, 14,747.85 and 8,859.90

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Solution

The fourth proportional to 9,831.90, 14,747.85 and 8,859.90 is: 13,289.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,831.90 : 14,747.85 = 8,859.90 : x
  2. Step 2: Convert to fraction form
    9,831.90/14,747.85 = 8,859.90/x
  3. Step 3: Cross multiply
    9,831.90x = 14,747.85 × 8,859.90
  4. Step 4: Simplify right side
    9,831.90x = 130,664,476.22
  5. Step 5: Solve for x
    x = 130,664,476.22/9,831.90
  6. Step 6: Final answer
    x = 13,289.85

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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.