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Finding the Fourth Proportional to 6,842.69, 9,439.26 and 4,600.71

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Solution

The fourth proportional to 6,842.69, 9,439.26 and 4,600.71 is: 6,346.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.69 : 9,439.26 = 4,600.71 : x
  2. Step 2: Convert to fraction form
    6,842.69/9,439.26 = 4,600.71/x
  3. Step 3: Cross multiply
    6,842.69x = 9,439.26 × 4,600.71
  4. Step 4: Simplify right side
    6,842.69x = 43,427,297.87
  5. Step 5: Solve for x
    x = 43,427,297.87/6,842.69
  6. Step 6: Final answer
    x = 6,346.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.