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Finding the Fourth Proportional to 6,400.26, 9,600.63 and 2,017.74

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Solution

The fourth proportional to 6,400.26, 9,600.63 and 2,017.74 is: 3,026.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.26 : 9,600.63 = 2,017.74 : x
  2. Step 2: Convert to fraction form
    6,400.26/9,600.63 = 2,017.74/x
  3. Step 3: Cross multiply
    6,400.26x = 9,600.63 × 2,017.74
  4. Step 4: Simplify right side
    6,400.26x = 19,371,575.18
  5. Step 5: Solve for x
    x = 19,371,575.18/6,400.26
  6. Step 6: Final answer
    x = 3,026.69

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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.