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Finding the Fourth Proportional to 6,104.57, 9,156.85 and 2,209.01

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Solution

The fourth proportional to 6,104.57, 9,156.85 and 2,209.01 is: 3,313.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,104.57 : 9,156.85 = 2,209.01 : x
  2. Step 2: Convert to fraction form
    6,104.57/9,156.85 = 2,209.01/x
  3. Step 3: Cross multiply
    6,104.57x = 9,156.85 × 2,209.01
  4. Step 4: Simplify right side
    6,104.57x = 20,227,521.91
  5. Step 5: Solve for x
    x = 20,227,521.91/6,104.57
  6. Step 6: Final answer
    x = 3,313.51

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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.