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Finding the Fourth Proportional to 6,987.98, 9,645.82 and 6,780.62

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Solution

The fourth proportional to 6,987.98, 9,645.82 and 6,780.62 is: 9,359.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987.98 : 9,645.82 = 6,780.62 : x
  2. Step 2: Convert to fraction form
    6,987.98/9,645.82 = 6,780.62/x
  3. Step 3: Cross multiply
    6,987.98x = 9,645.82 × 6,780.62
  4. Step 4: Simplify right side
    6,987.98x = 65,404,640.01
  5. Step 5: Solve for x
    x = 65,404,640.01/6,987.98
  6. Step 6: Final answer
    x = 9,359.59

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