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Finding the Fourth Proportional to 9,252.16, 12,772.15 and 5,899.48

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Solution

The fourth proportional to 9,252.16, 12,772.15 and 5,899.48 is: 8,143.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,252.16 : 12,772.15 = 5,899.48 : x
  2. Step 2: Convert to fraction form
    9,252.16/12,772.15 = 5,899.48/x
  3. Step 3: Cross multiply
    9,252.16x = 12,772.15 × 5,899.48
  4. Step 4: Simplify right side
    9,252.16x = 75,348,996.80
  5. Step 5: Solve for x
    x = 75,348,996.80/9,252.16
  6. Step 6: Final answer
    x = 8,143.94

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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.