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Finding the Fourth Proportional to 9,344.43, 12,891.02 and 5,985.63

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Solution

The fourth proportional to 9,344.43, 12,891.02 and 5,985.63 is: 8,257.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,344.43 : 12,891.02 = 5,985.63 : x
  2. Step 2: Convert to fraction form
    9,344.43/12,891.02 = 5,985.63/x
  3. Step 3: Cross multiply
    9,344.43x = 12,891.02 × 5,985.63
  4. Step 4: Simplify right side
    9,344.43x = 77,160,846.11
  5. Step 5: Solve for x
    x = 77,160,846.11/9,344.43
  6. Step 6: Final answer
    x = 8,257.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.