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Finding the Fourth Proportional to 9,246.72, 13,862.79 and 3,400.14

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Solution

The fourth proportional to 9,246.72, 13,862.79 and 3,400.14 is: 5,097.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,246.72 : 13,862.79 = 3,400.14 : x
  2. Step 2: Convert to fraction form
    9,246.72/13,862.79 = 3,400.14/x
  3. Step 3: Cross multiply
    9,246.72x = 13,862.79 × 3,400.14
  4. Step 4: Simplify right side
    9,246.72x = 47,135,426.79
  5. Step 5: Solve for x
    x = 47,135,426.79/9,246.72
  6. Step 6: Final answer
    x = 5,097.53

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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.