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Finding the Fourth Proportional to 6,024.80, 9,038.16 and 1,863.83

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Solution

The fourth proportional to 6,024.80, 9,038.16 and 1,863.83 is: 2,796.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,024.80 : 9,038.16 = 1,863.83 : x
  2. Step 2: Convert to fraction form
    6,024.80/9,038.16 = 1,863.83/x
  3. Step 3: Cross multiply
    6,024.80x = 9,038.16 × 1,863.83
  4. Step 4: Simplify right side
    6,024.80x = 16,845,593.75
  5. Step 5: Solve for x
    x = 16,845,593.75/6,024.80
  6. Step 6: Final answer
    x = 2,796.04

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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.