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Finding the Fourth Proportional to 6,972.09, 9,621.37 and 3,988.20

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Solution

The fourth proportional to 6,972.09, 9,621.37 and 3,988.20 is: 5,503.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972.09 : 9,621.37 = 3,988.20 : x
  2. Step 2: Convert to fraction form
    6,972.09/9,621.37 = 3,988.20/x
  3. Step 3: Cross multiply
    6,972.09x = 9,621.37 × 3,988.20
  4. Step 4: Simplify right side
    6,972.09x = 38,371,947.83
  5. Step 5: Solve for x
    x = 38,371,947.83/6,972.09
  6. Step 6: Final answer
    x = 5,503.65

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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.