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Finding the Fourth Proportional to 9,264.68, 12,785.26 and 5,072.92

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Solution

The fourth proportional to 9,264.68, 12,785.26 and 5,072.92 is: 7,000.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.68 : 12,785.26 = 5,072.92 : x
  2. Step 2: Convert to fraction form
    9,264.68/12,785.26 = 5,072.92/x
  3. Step 3: Cross multiply
    9,264.68x = 12,785.26 × 5,072.92
  4. Step 4: Simplify right side
    9,264.68x = 64,858,601.16
  5. Step 5: Solve for x
    x = 64,858,601.16/9,264.68
  6. Step 6: Final answer
    x = 7,000.63

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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.