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Finding the Fourth Proportional to 9,246.72, 12,760.88 and 5,214.90

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Solution

The fourth proportional to 9,246.72, 12,760.88 and 5,214.90 is: 7,196.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,246.72 : 12,760.88 = 5,214.90 : x
  2. Step 2: Convert to fraction form
    9,246.72/12,760.88 = 5,214.90/x
  3. Step 3: Cross multiply
    9,246.72x = 12,760.88 × 5,214.90
  4. Step 4: Simplify right side
    9,246.72x = 66,546,687.04
  5. Step 5: Solve for x
    x = 66,546,687.04/9,246.72
  6. Step 6: Final answer
    x = 7,196.79

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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.