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Finding the Fourth Proportional to 6,986.69, 9,641.59 and 3,799.90

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Solution

The fourth proportional to 6,986.69, 9,641.59 and 3,799.90 is: 5,243.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.69 : 9,641.59 = 3,799.90 : x
  2. Step 2: Convert to fraction form
    6,986.69/9,641.59 = 3,799.90/x
  3. Step 3: Cross multiply
    6,986.69x = 9,641.59 × 3,799.90
  4. Step 4: Simplify right side
    6,986.69x = 36,637,077.84
  5. Step 5: Solve for x
    x = 36,637,077.84/6,986.69
  6. Step 6: Final answer
    x = 5,243.84

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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.