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Finding the Fourth Proportional to 6,523.33, 9,782.95 and 2,139.76

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Solution

The fourth proportional to 6,523.33, 9,782.95 and 2,139.76 is: 3,208.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.33 : 9,782.95 = 2,139.76 : x
  2. Step 2: Convert to fraction form
    6,523.33/9,782.95 = 2,139.76/x
  3. Step 3: Cross multiply
    6,523.33x = 9,782.95 × 2,139.76
  4. Step 4: Simplify right side
    6,523.33x = 20,933,159.74
  5. Step 5: Solve for x
    x = 20,933,159.74/6,523.33
  6. Step 6: Final answer
    x = 3,208.97

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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.