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Finding the Fourth Proportional to 9,401.84, 12,979.68 and 6,422.12

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Solution

The fourth proportional to 9,401.84, 12,979.68 and 6,422.12 is: 8,866.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,401.84 : 12,979.68 = 6,422.12 : x
  2. Step 2: Convert to fraction form
    9,401.84/12,979.68 = 6,422.12/x
  3. Step 3: Cross multiply
    9,401.84x = 12,979.68 × 6,422.12
  4. Step 4: Simplify right side
    9,401.84x = 83,357,062.52
  5. Step 5: Solve for x
    x = 83,357,062.52/9,401.84
  6. Step 6: Final answer
    x = 8,866.04

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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.