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Finding the Fourth Proportional to 9,246.50, 12,760.17 and 5,054.75

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Solution

The fourth proportional to 9,246.50, 12,760.17 and 5,054.75 is: 6,975.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,246.50 : 12,760.17 = 5,054.75 : x
  2. Step 2: Convert to fraction form
    9,246.50/12,760.17 = 5,054.75/x
  3. Step 3: Cross multiply
    9,246.50x = 12,760.17 × 5,054.75
  4. Step 4: Simplify right side
    9,246.50x = 64,499,469.31
  5. Step 5: Solve for x
    x = 64,499,469.31/9,246.50
  6. Step 6: Final answer
    x = 6,975.56

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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.