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Finding the Fourth Proportional to 6,233.86, 9,349.88 and 2,536.16

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Solution

The fourth proportional to 6,233.86, 9,349.88 and 2,536.16 is: 3,803.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,233.86 : 9,349.88 = 2,536.16 : x
  2. Step 2: Convert to fraction form
    6,233.86/9,349.88 = 2,536.16/x
  3. Step 3: Cross multiply
    6,233.86x = 9,349.88 × 2,536.16
  4. Step 4: Simplify right side
    6,233.86x = 23,712,799.09
  5. Step 5: Solve for x
    x = 23,712,799.09/6,233.86
  6. Step 6: Final answer
    x = 3,803.87

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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.