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Finding the Fourth Proportional to 6,211.92, 9,317.84 and 4,019.42

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Solution

The fourth proportional to 6,211.92, 9,317.84 and 4,019.42 is: 6,029.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,211.92 : 9,317.84 = 4,019.42 : x
  2. Step 2: Convert to fraction form
    6,211.92/9,317.84 = 4,019.42/x
  3. Step 3: Cross multiply
    6,211.92x = 9,317.84 × 4,019.42
  4. Step 4: Simplify right side
    6,211.92x = 37,452,312.45
  5. Step 5: Solve for x
    x = 37,452,312.45/6,211.92
  6. Step 6: Final answer
    x = 6,029.10

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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.