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Finding the Fourth Proportional to 6,193.61, 9,291.39 and 2,032.68

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Solution

The fourth proportional to 6,193.61, 9,291.39 and 2,032.68 is: 3,049.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.61 : 9,291.39 = 2,032.68 : x
  2. Step 2: Convert to fraction form
    6,193.61/9,291.39 = 2,032.68/x
  3. Step 3: Cross multiply
    6,193.61x = 9,291.39 × 2,032.68
  4. Step 4: Simplify right side
    6,193.61x = 18,886,366.00
  5. Step 5: Solve for x
    x = 18,886,366.00/6,193.61
  6. Step 6: Final answer
    x = 3,049.33

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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.