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Finding the Fourth Proportional to 6,301.89, 9,448.74 and 2,553.93

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Solution

The fourth proportional to 6,301.89, 9,448.74 and 2,553.93 is: 3,829.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.89 : 9,448.74 = 2,553.93 : x
  2. Step 2: Convert to fraction form
    6,301.89/9,448.74 = 2,553.93/x
  3. Step 3: Cross multiply
    6,301.89x = 9,448.74 × 2,553.93
  4. Step 4: Simplify right side
    6,301.89x = 24,131,420.55
  5. Step 5: Solve for x
    x = 24,131,420.55/6,301.89
  6. Step 6: Final answer
    x = 3,829.24

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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.