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Finding the Fourth Proportional to 6,521.82, 9,782.72 and 2,139.62

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Solution

The fourth proportional to 6,521.82, 9,782.72 and 2,139.62 is: 3,209.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,521.82 : 9,782.72 = 2,139.62 : x
  2. Step 2: Convert to fraction form
    6,521.82/9,782.72 = 2,139.62/x
  3. Step 3: Cross multiply
    6,521.82x = 9,782.72 × 2,139.62
  4. Step 4: Simplify right side
    6,521.82x = 20,931,263.81
  5. Step 5: Solve for x
    x = 20,931,263.81/6,521.82
  6. Step 6: Final answer
    x = 3,209.42

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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.