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Finding the Fourth Proportional to 6,982.32, 9,624.35 and 5,721.15

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Solution

The fourth proportional to 6,982.32, 9,624.35 and 5,721.15 is: 7,885.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,982.32 : 9,624.35 = 5,721.15 : x
  2. Step 2: Convert to fraction form
    6,982.32/9,624.35 = 5,721.15/x
  3. Step 3: Cross multiply
    6,982.32x = 9,624.35 × 5,721.15
  4. Step 4: Simplify right side
    6,982.32x = 55,062,364.31
  5. Step 5: Solve for x
    x = 55,062,364.31/6,982.32
  6. Step 6: Final answer
    x = 7,885.97

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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.