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Finding the Fourth Proportional to 10,352.80, 14,289.78 and 9,332.20

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Solution

The fourth proportional to 10,352.80, 14,289.78 and 9,332.20 is: 12,881.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,352.80 : 14,289.78 = 9,332.20 : x
  2. Step 2: Convert to fraction form
    10,352.80/14,289.78 = 9,332.20/x
  3. Step 3: Cross multiply
    10,352.80x = 14,289.78 × 9,332.20
  4. Step 4: Simplify right side
    10,352.80x = 133,355,084.92
  5. Step 5: Solve for x
    x = 133,355,084.92/10,352.80
  6. Step 6: Final answer
    x = 12,881.06

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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.