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Finding the Fourth Proportional to 6,124.86, 9,189.86 and 3,205.08

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Solution

The fourth proportional to 6,124.86, 9,189.86 and 3,205.08 is: 4,808.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,124.86 : 9,189.86 = 3,205.08 : x
  2. Step 2: Convert to fraction form
    6,124.86/9,189.86 = 3,205.08/x
  3. Step 3: Cross multiply
    6,124.86x = 9,189.86 × 3,205.08
  4. Step 4: Simplify right side
    6,124.86x = 29,454,220.46
  5. Step 5: Solve for x
    x = 29,454,220.46/6,124.86
  6. Step 6: Final answer
    x = 4,808.96

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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.