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Finding the Fourth Proportional to 9,678.38, 13,348.85 and 6,699.20

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Solution

The fourth proportional to 9,678.38, 13,348.85 and 6,699.20 is: 9,239.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.38 : 13,348.85 = 6,699.20 : x
  2. Step 2: Convert to fraction form
    9,678.38/13,348.85 = 6,699.20/x
  3. Step 3: Cross multiply
    9,678.38x = 13,348.85 × 6,699.20
  4. Step 4: Simplify right side
    9,678.38x = 89,426,515.68
  5. Step 5: Solve for x
    x = 89,426,515.68/9,678.38
  6. Step 6: Final answer
    x = 9,239.83

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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.