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Finding the Fourth Proportional to 9,198.38, 12,689.65 and 7,070.11

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Solution

The fourth proportional to 9,198.38, 12,689.65 and 7,070.11 is: 9,753.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.38 : 12,689.65 = 7,070.11 : x
  2. Step 2: Convert to fraction form
    9,198.38/12,689.65 = 7,070.11/x
  3. Step 3: Cross multiply
    9,198.38x = 12,689.65 × 7,070.11
  4. Step 4: Simplify right side
    9,198.38x = 89,717,221.36
  5. Step 5: Solve for x
    x = 89,717,221.36/9,198.38
  6. Step 6: Final answer
    x = 9,753.59

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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.