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Finding the Fourth Proportional to 6,486.35, 9,727.97 and 3,154.55

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Solution

The fourth proportional to 6,486.35, 9,727.97 and 3,154.55 is: 4,731.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.35 : 9,727.97 = 3,154.55 : x
  2. Step 2: Convert to fraction form
    6,486.35/9,727.97 = 3,154.55/x
  3. Step 3: Cross multiply
    6,486.35x = 9,727.97 × 3,154.55
  4. Step 4: Simplify right side
    6,486.35x = 30,687,303.35
  5. Step 5: Solve for x
    x = 30,687,303.35/6,486.35
  6. Step 6: Final answer
    x = 4,731.06

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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.