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Finding the Fourth Proportional to 6,486.42, 9,729.69 and 2,103.90

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Solution

The fourth proportional to 6,486.42, 9,729.69 and 2,103.90 is: 3,155.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.42 : 9,729.69 = 2,103.90 : x
  2. Step 2: Convert to fraction form
    6,486.42/9,729.69 = 2,103.90/x
  3. Step 3: Cross multiply
    6,486.42x = 9,729.69 × 2,103.90
  4. Step 4: Simplify right side
    6,486.42x = 20,470,294.79
  5. Step 5: Solve for x
    x = 20,470,294.79/6,486.42
  6. Step 6: Final answer
    x = 3,155.87

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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.