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Finding the Fourth Proportional to 9,198.71, 13,798.88 and 2,624.75

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Solution

The fourth proportional to 9,198.71, 13,798.88 and 2,624.75 is: 3,937.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.71 : 13,798.88 = 2,624.75 : x
  2. Step 2: Convert to fraction form
    9,198.71/13,798.88 = 2,624.75/x
  3. Step 3: Cross multiply
    9,198.71x = 13,798.88 × 2,624.75
  4. Step 4: Simplify right side
    9,198.71x = 36,218,610.28
  5. Step 5: Solve for x
    x = 36,218,610.28/9,198.71
  6. Step 6: Final answer
    x = 3,937.36

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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.