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Finding the Fourth Proportional to 9,407.38, 12,982 and 5,158.32

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Solution

The fourth proportional to 9,407.38, 12,982 and 5,158.32 is: 7,118.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.38 : 12,982 = 5,158.32 : x
  2. Step 2: Convert to fraction form
    9,407.38/12,982 = 5,158.32/x
  3. Step 3: Cross multiply
    9,407.38x = 12,982 × 5,158.32
  4. Step 4: Simplify right side
    9,407.38x = 66,965,310.24
  5. Step 5: Solve for x
    x = 66,965,310.24/9,407.38
  6. Step 6: Final answer
    x = 7,118.38

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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.