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Finding the Fourth Proportional to 6,486.13, 9,722.94 and 2,100.61

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Solution

The fourth proportional to 6,486.13, 9,722.94 and 2,100.61 is: 3,148.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.13 : 9,722.94 = 2,100.61 : x
  2. Step 2: Convert to fraction form
    6,486.13/9,722.94 = 2,100.61/x
  3. Step 3: Cross multiply
    6,486.13x = 9,722.94 × 2,100.61
  4. Step 4: Simplify right side
    6,486.13x = 20,424,104.99
  5. Step 5: Solve for x
    x = 20,424,104.99/6,486.13
  6. Step 6: Final answer
    x = 3,148.89

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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.