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Finding the Fourth Proportional to 6,987.69, 9,642.86 and 3,801.05

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Solution

The fourth proportional to 6,987.69, 9,642.86 and 3,801.05 is: 5,245.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987.69 : 9,642.86 = 3,801.05 : x
  2. Step 2: Convert to fraction form
    6,987.69/9,642.86 = 3,801.05/x
  3. Step 3: Cross multiply
    6,987.69x = 9,642.86 × 3,801.05
  4. Step 4: Simplify right side
    6,987.69x = 36,652,925.78
  5. Step 5: Solve for x
    x = 36,652,925.78/6,987.69
  6. Step 6: Final answer
    x = 5,245.36

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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.