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Finding the Fourth Proportional to 9,182.70, 13,775.76 and 4,249.08

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Solution

The fourth proportional to 9,182.70, 13,775.76 and 4,249.08 is: 6,374.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.70 : 13,775.76 = 4,249.08 : x
  2. Step 2: Convert to fraction form
    9,182.70/13,775.76 = 4,249.08/x
  3. Step 3: Cross multiply
    9,182.70x = 13,775.76 × 4,249.08
  4. Step 4: Simplify right side
    9,182.70x = 58,534,306.30
  5. Step 5: Solve for x
    x = 58,534,306.30/9,182.70
  6. Step 6: Final answer
    x = 6,374.41

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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.