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Finding the Fourth Proportional to 6,502.43, 9,754.59 and 2,118.80

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Solution

The fourth proportional to 6,502.43, 9,754.59 and 2,118.80 is: 3,178.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.43 : 9,754.59 = 2,118.80 : x
  2. Step 2: Convert to fraction form
    6,502.43/9,754.59 = 2,118.80/x
  3. Step 3: Cross multiply
    6,502.43x = 9,754.59 × 2,118.80
  4. Step 4: Simplify right side
    6,502.43x = 20,668,025.29
  5. Step 5: Solve for x
    x = 20,668,025.29/6,502.43
  6. Step 6: Final answer
    x = 3,178.51

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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.