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Finding the Fourth Proportional to 9,290.80, 13,952.40 and 8,999.20

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Solution

The fourth proportional to 9,290.80, 13,952.40 and 8,999.20 is: 13,514.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,290.80 : 13,952.40 = 8,999.20 : x
  2. Step 2: Convert to fraction form
    9,290.80/13,952.40 = 8,999.20/x
  3. Step 3: Cross multiply
    9,290.80x = 13,952.40 × 8,999.20
  4. Step 4: Simplify right side
    9,290.80x = 125,560,438.08
  5. Step 5: Solve for x
    x = 125,560,438.08/9,290.80
  6. Step 6: Final answer
    x = 13,514.49

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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.