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Finding the Fourth Proportional to 6,202.86, 9,302.31 and 2,041.91

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Solution

The fourth proportional to 6,202.86, 9,302.31 and 2,041.91 is: 3,062.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.86 : 9,302.31 = 2,041.91 : x
  2. Step 2: Convert to fraction form
    6,202.86/9,302.31 = 2,041.91/x
  3. Step 3: Cross multiply
    6,202.86x = 9,302.31 × 2,041.91
  4. Step 4: Simplify right side
    6,202.86x = 18,994,423.09
  5. Step 5: Solve for x
    x = 18,994,423.09/6,202.86
  6. Step 6: Final answer
    x = 3,062.20

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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.