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Finding the Fourth Proportional to 9,661.20, 14,470.20 and 7,462.80

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Solution

The fourth proportional to 9,661.20, 14,470.20 and 7,462.80 is: 11,177.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661.20 : 14,470.20 = 7,462.80 : x
  2. Step 2: Convert to fraction form
    9,661.20/14,470.20 = 7,462.80/x
  3. Step 3: Cross multiply
    9,661.20x = 14,470.20 × 7,462.80
  4. Step 4: Simplify right side
    9,661.20x = 107,988,208.56
  5. Step 5: Solve for x
    x = 107,988,208.56/9,661.20
  6. Step 6: Final answer
    x = 11,177.52

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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.