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Finding the Fourth Proportional to 6,400.17, 9,600.30 and 2,017.98

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Solution

The fourth proportional to 6,400.17, 9,600.30 and 2,017.98 is: 3,026.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.17 : 9,600.30 = 2,017.98 : x
  2. Step 2: Convert to fraction form
    6,400.17/9,600.30 = 2,017.98/x
  3. Step 3: Cross multiply
    6,400.17x = 9,600.30 × 2,017.98
  4. Step 4: Simplify right side
    6,400.17x = 19,373,213.39
  5. Step 5: Solve for x
    x = 19,373,213.39/6,400.17
  6. Step 6: Final answer
    x = 3,026.98

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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.