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Finding the Fourth Proportional to 9,196.38, 12,686.90 and 7,068.11

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Solution

The fourth proportional to 9,196.38, 12,686.90 and 7,068.11 is: 9,750.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.38 : 12,686.90 = 7,068.11 : x
  2. Step 2: Convert to fraction form
    9,196.38/12,686.90 = 7,068.11/x
  3. Step 3: Cross multiply
    9,196.38x = 12,686.90 × 7,068.11
  4. Step 4: Simplify right side
    9,196.38x = 89,672,305.98
  5. Step 5: Solve for x
    x = 89,672,305.98/9,196.38
  6. Step 6: Final answer
    x = 9,750.83

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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.