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Finding the Fourth Proportional to 9,624.96, 13,282.65 and 5,645.97

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Solution

The fourth proportional to 9,624.96, 13,282.65 and 5,645.97 is: 7,791.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624.96 : 13,282.65 = 5,645.97 : x
  2. Step 2: Convert to fraction form
    9,624.96/13,282.65 = 5,645.97/x
  3. Step 3: Cross multiply
    9,624.96x = 13,282.65 × 5,645.97
  4. Step 4: Simplify right side
    9,624.96x = 74,993,443.42
  5. Step 5: Solve for x
    x = 74,993,443.42/9,624.96
  6. Step 6: Final answer
    x = 7,791.56

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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.