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Finding the Fourth Proportional to 6,202.08, 9,300 and 2,041.92

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Solution

The fourth proportional to 6,202.08, 9,300 and 2,041.92 is: 3,061.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.08 : 9,300 = 2,041.92 : x
  2. Step 2: Convert to fraction form
    6,202.08/9,300 = 2,041.92/x
  3. Step 3: Cross multiply
    6,202.08x = 9,300 × 2,041.92
  4. Step 4: Simplify right side
    6,202.08x = 18,989,856
  5. Step 5: Solve for x
    x = 18,989,856/6,202.08
  6. Step 6: Final answer
    x = 3,061.85

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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.