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Finding the Fourth Proportional to 9,882.88, 14,831.36 and 7,292.80

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Solution

The fourth proportional to 9,882.88, 14,831.36 and 7,292.80 is: 10,944.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882.88 : 14,831.36 = 7,292.80 : x
  2. Step 2: Convert to fraction form
    9,882.88/14,831.36 = 7,292.80/x
  3. Step 3: Cross multiply
    9,882.88x = 14,831.36 × 7,292.80
  4. Step 4: Simplify right side
    9,882.88x = 108,162,142.21
  5. Step 5: Solve for x
    x = 108,162,142.21/9,882.88
  6. Step 6: Final answer
    x = 10,944.39

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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.