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Finding the Fourth Proportional to 6,400.22, 9,598.71 and 2,015.42

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Solution

The fourth proportional to 6,400.22, 9,598.71 and 2,015.42 is: 3,022.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.22 : 9,598.71 = 2,015.42 : x
  2. Step 2: Convert to fraction form
    6,400.22/9,598.71 = 2,015.42/x
  3. Step 3: Cross multiply
    6,400.22x = 9,598.71 × 2,015.42
  4. Step 4: Simplify right side
    6,400.22x = 19,345,432.11
  5. Step 5: Solve for x
    x = 19,345,432.11/6,400.22
  6. Step 6: Final answer
    x = 3,022.62

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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.