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Finding the Fourth Proportional to 9,178.20, 13,759.56 and 3,980.16

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Solution

The fourth proportional to 9,178.20, 13,759.56 and 3,980.16 is: 5,966.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.20 : 13,759.56 = 3,980.16 : x
  2. Step 2: Convert to fraction form
    9,178.20/13,759.56 = 3,980.16/x
  3. Step 3: Cross multiply
    9,178.20x = 13,759.56 × 3,980.16
  4. Step 4: Simplify right side
    9,178.20x = 54,765,250.33
  5. Step 5: Solve for x
    x = 54,765,250.33/9,178.20
  6. Step 6: Final answer
    x = 5,966.88

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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.