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Finding the Fourth Proportional to 6,400.10, 9,600.15 and 2,017.90

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Solution

The fourth proportional to 6,400.10, 9,600.15 and 2,017.90 is: 3,026.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.10 : 9,600.15 = 2,017.90 : x
  2. Step 2: Convert to fraction form
    6,400.10/9,600.15 = 2,017.90/x
  3. Step 3: Cross multiply
    6,400.10x = 9,600.15 × 2,017.90
  4. Step 4: Simplify right side
    6,400.10x = 19,372,142.69
  5. Step 5: Solve for x
    x = 19,372,142.69/6,400.10
  6. Step 6: Final answer
    x = 3,026.85

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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.