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Finding the Fourth Proportional to 9,247.44, 12,762 and 6,895.92

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Solution

The fourth proportional to 9,247.44, 12,762 and 6,895.92 is: 9,516.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,247.44 : 12,762 = 6,895.92 : x
  2. Step 2: Convert to fraction form
    9,247.44/12,762 = 6,895.92/x
  3. Step 3: Cross multiply
    9,247.44x = 12,762 × 6,895.92
  4. Step 4: Simplify right side
    9,247.44x = 88,005,731.04
  5. Step 5: Solve for x
    x = 88,005,731.04/9,247.44
  6. Step 6: Final answer
    x = 9,516.77

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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.