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Finding the Fourth Proportional to 9,974.88, 13,765.26 and 5,498.64

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Solution

The fourth proportional to 9,974.88, 13,765.26 and 5,498.64 is: 7,588.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974.88 : 13,765.26 = 5,498.64 : x
  2. Step 2: Convert to fraction form
    9,974.88/13,765.26 = 5,498.64/x
  3. Step 3: Cross multiply
    9,974.88x = 13,765.26 × 5,498.64
  4. Step 4: Simplify right side
    9,974.88x = 75,690,209.25
  5. Step 5: Solve for x
    x = 75,690,209.25/9,974.88
  6. Step 6: Final answer
    x = 7,588.08

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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.