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Finding the Fourth Proportional to 6,233.28, 9,301.07 and 6,196.83

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Solution

The fourth proportional to 6,233.28, 9,301.07 and 6,196.83 is: 9,246.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,233.28 : 9,301.07 = 6,196.83 : x
  2. Step 2: Convert to fraction form
    6,233.28/9,301.07 = 6,196.83/x
  3. Step 3: Cross multiply
    6,233.28x = 9,301.07 × 6,196.83
  4. Step 4: Simplify right side
    6,233.28x = 57,637,149.61
  5. Step 5: Solve for x
    x = 57,637,149.61/6,233.28
  6. Step 6: Final answer
    x = 9,246.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.