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Finding the Fourth Proportional to 6,301.96, 9,454.49 and 2,605.24

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Solution

The fourth proportional to 6,301.96, 9,454.49 and 2,605.24 is: 3,908.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.96 : 9,454.49 = 2,605.24 : x
  2. Step 2: Convert to fraction form
    6,301.96/9,454.49 = 2,605.24/x
  3. Step 3: Cross multiply
    6,301.96x = 9,454.49 × 2,605.24
  4. Step 4: Simplify right side
    6,301.96x = 24,631,242.42
  5. Step 5: Solve for x
    x = 24,631,242.42/6,301.96
  6. Step 6: Final answer
    x = 3,908.51

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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.