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Finding the Fourth Proportional to 6,031.96, 9,049.40 and 3,063.10

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Solution

The fourth proportional to 6,031.96, 9,049.40 and 3,063.10 is: 4,595.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,031.96 : 9,049.40 = 3,063.10 : x
  2. Step 2: Convert to fraction form
    6,031.96/9,049.40 = 3,063.10/x
  3. Step 3: Cross multiply
    6,031.96x = 9,049.40 × 3,063.10
  4. Step 4: Simplify right side
    6,031.96x = 27,719,217.14
  5. Step 5: Solve for x
    x = 27,719,217.14/6,031.96
  6. Step 6: Final answer
    x = 4,595.39

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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.