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Finding the Fourth Proportional to 9,246.24, 12,759.12 and 5,469.84

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Solution

The fourth proportional to 9,246.24, 12,759.12 and 5,469.84 is: 7,547.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,246.24 : 12,759.12 = 5,469.84 : x
  2. Step 2: Convert to fraction form
    9,246.24/12,759.12 = 5,469.84/x
  3. Step 3: Cross multiply
    9,246.24x = 12,759.12 × 5,469.84
  4. Step 4: Simplify right side
    9,246.24x = 69,790,344.94
  5. Step 5: Solve for x
    x = 69,790,344.94/9,246.24
  6. Step 6: Final answer
    x = 7,547.97

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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.