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Finding the Fourth Proportional to 6,521.96, 9,780.89 and 2,138.39

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Solution

The fourth proportional to 6,521.96, 9,780.89 and 2,138.39 is: 3,206.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,521.96 : 9,780.89 = 2,138.39 : x
  2. Step 2: Convert to fraction form
    6,521.96/9,780.89 = 2,138.39/x
  3. Step 3: Cross multiply
    6,521.96x = 9,780.89 × 2,138.39
  4. Step 4: Simplify right side
    6,521.96x = 20,915,371.13
  5. Step 5: Solve for x
    x = 20,915,371.13/6,521.96
  6. Step 6: Final answer
    x = 3,206.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.