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Finding the Fourth Proportional to 6,986.70, 9,641.64 and 3,799.98

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Solution

The fourth proportional to 6,986.70, 9,641.64 and 3,799.98 is: 5,243.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.70 : 9,641.64 = 3,799.98 : x
  2. Step 2: Convert to fraction form
    6,986.70/9,641.64 = 3,799.98/x
  3. Step 3: Cross multiply
    6,986.70x = 9,641.64 × 3,799.98
  4. Step 4: Simplify right side
    6,986.70x = 36,638,039.17
  5. Step 5: Solve for x
    x = 36,638,039.17/6,986.70
  6. Step 6: Final answer
    x = 5,243.97

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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.