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Finding the Fourth Proportional to 9,340.16, 12,891.13 and 5,984.42

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Solution

The fourth proportional to 9,340.16, 12,891.13 and 5,984.42 is: 8,259.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,340.16 : 12,891.13 = 5,984.42 : x
  2. Step 2: Convert to fraction form
    9,340.16/12,891.13 = 5,984.42/x
  3. Step 3: Cross multiply
    9,340.16x = 12,891.13 × 5,984.42
  4. Step 4: Simplify right side
    9,340.16x = 77,145,856.78
  5. Step 5: Solve for x
    x = 77,145,856.78/9,340.16
  6. Step 6: Final answer
    x = 8,259.59

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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.