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Finding the Fourth Proportional to 6,031.08, 9,046.62 and 4,493.16

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Solution

The fourth proportional to 6,031.08, 9,046.62 and 4,493.16 is: 6,739.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,031.08 : 9,046.62 = 4,493.16 : x
  2. Step 2: Convert to fraction form
    6,031.08/9,046.62 = 4,493.16/x
  3. Step 3: Cross multiply
    6,031.08x = 9,046.62 × 4,493.16
  4. Step 4: Simplify right side
    6,031.08x = 40,647,911.12
  5. Step 5: Solve for x
    x = 40,647,911.12/6,031.08
  6. Step 6: Final answer
    x = 6,739.74

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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.