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Finding the Fourth Proportional to 6,209.57, 9,315.89 and 5,100.87

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Solution

The fourth proportional to 6,209.57, 9,315.89 and 5,100.87 is: 7,652.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.57 : 9,315.89 = 5,100.87 : x
  2. Step 2: Convert to fraction form
    6,209.57/9,315.89 = 5,100.87/x
  3. Step 3: Cross multiply
    6,209.57x = 9,315.89 × 5,100.87
  4. Step 4: Simplify right side
    6,209.57x = 47,519,122.47
  5. Step 5: Solve for x
    x = 47,519,122.47/6,209.57
  6. Step 6: Final answer
    x = 7,652.56

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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.