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Finding the Fourth Proportional to 6,400.15, 9,600.53 and 2,017.95

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Solution

The fourth proportional to 6,400.15, 9,600.53 and 2,017.95 is: 3,027.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.15 : 9,600.53 = 2,017.95 : x
  2. Step 2: Convert to fraction form
    6,400.15/9,600.53 = 2,017.95/x
  3. Step 3: Cross multiply
    6,400.15x = 9,600.53 × 2,017.95
  4. Step 4: Simplify right side
    6,400.15x = 19,373,331.42
  5. Step 5: Solve for x
    x = 19,373,331.42/6,400.15
  6. Step 6: Final answer
    x = 3,027.01

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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.