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Finding the Fourth Proportional to 6,462.16, 9,684.12 and 4,149.52

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Solution

The fourth proportional to 6,462.16, 9,684.12 and 4,149.52 is: 6,218.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,462.16 : 9,684.12 = 4,149.52 : x
  2. Step 2: Convert to fraction form
    6,462.16/9,684.12 = 4,149.52/x
  3. Step 3: Cross multiply
    6,462.16x = 9,684.12 × 4,149.52
  4. Step 4: Simplify right side
    6,462.16x = 40,184,449.62
  5. Step 5: Solve for x
    x = 40,184,449.62/6,462.16
  6. Step 6: Final answer
    x = 6,218.42

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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.