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Finding the Fourth Proportional to 6,424.74, 9,642.60 and 2,920.08

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Solution

The fourth proportional to 6,424.74, 9,642.60 and 2,920.08 is: 4,382.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.74 : 9,642.60 = 2,920.08 : x
  2. Step 2: Convert to fraction form
    6,424.74/9,642.60 = 2,920.08/x
  3. Step 3: Cross multiply
    6,424.74x = 9,642.60 × 2,920.08
  4. Step 4: Simplify right side
    6,424.74x = 28,157,163.41
  5. Step 5: Solve for x
    x = 28,157,163.41/6,424.74
  6. Step 6: Final answer
    x = 4,382.62

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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.