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Finding the Fourth Proportional to 6,013.80, 9,020.70 and 3,421.80

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Solution

The fourth proportional to 6,013.80, 9,020.70 and 3,421.80 is: 5,132.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,013.80 : 9,020.70 = 3,421.80 : x
  2. Step 2: Convert to fraction form
    6,013.80/9,020.70 = 3,421.80/x
  3. Step 3: Cross multiply
    6,013.80x = 9,020.70 × 3,421.80
  4. Step 4: Simplify right side
    6,013.80x = 30,867,031.26
  5. Step 5: Solve for x
    x = 30,867,031.26/6,013.80
  6. Step 6: Final answer
    x = 5,132.70

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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.