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Finding the Fourth Proportional to 9,247.65, 13,867.92 and 7,277.15

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Solution

The fourth proportional to 9,247.65, 13,867.92 and 7,277.15 is: 10,912.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,247.65 : 13,867.92 = 7,277.15 : x
  2. Step 2: Convert to fraction form
    9,247.65/13,867.92 = 7,277.15/x
  3. Step 3: Cross multiply
    9,247.65x = 13,867.92 × 7,277.15
  4. Step 4: Simplify right side
    9,247.65x = 100,918,934.03
  5. Step 5: Solve for x
    x = 100,918,934.03/9,247.65
  6. Step 6: Final answer
    x = 10,912.93

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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.