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Finding the Fourth Proportional to 6,424.35, 9,636.41 and 2,041.74

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Solution

The fourth proportional to 6,424.35, 9,636.41 and 2,041.74 is: 3,062.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.35 : 9,636.41 = 2,041.74 : x
  2. Step 2: Convert to fraction form
    6,424.35/9,636.41 = 2,041.74/x
  3. Step 3: Cross multiply
    6,424.35x = 9,636.41 × 2,041.74
  4. Step 4: Simplify right side
    6,424.35x = 19,675,033.54
  5. Step 5: Solve for x
    x = 19,675,033.54/6,424.35
  6. Step 6: Final answer
    x = 3,062.57

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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.