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Finding the Fourth Proportional to 9,250.80, 13,892.40 and 8,959.20

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Solution

The fourth proportional to 9,250.80, 13,892.40 and 8,959.20 is: 13,454.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,250.80 : 13,892.40 = 8,959.20 : x
  2. Step 2: Convert to fraction form
    9,250.80/13,892.40 = 8,959.20/x
  3. Step 3: Cross multiply
    9,250.80x = 13,892.40 × 8,959.20
  4. Step 4: Simplify right side
    9,250.80x = 124,464,790.08
  5. Step 5: Solve for x
    x = 124,464,790.08/9,250.80
  6. Step 6: Final answer
    x = 13,454.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.