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Finding the Fourth Proportional to 6,209.87, 9,316.15 and 3,091.57

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Solution

The fourth proportional to 6,209.87, 9,316.15 and 3,091.57 is: 4,638.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.87 : 9,316.15 = 3,091.57 : x
  2. Step 2: Convert to fraction form
    6,209.87/9,316.15 = 3,091.57/x
  3. Step 3: Cross multiply
    6,209.87x = 9,316.15 × 3,091.57
  4. Step 4: Simplify right side
    6,209.87x = 28,801,498.84
  5. Step 5: Solve for x
    x = 28,801,498.84/6,209.87
  6. Step 6: Final answer
    x = 4,638.02

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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.