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Finding the Fourth Proportional to 6,294.81, 9,439.64 and 2,346.33

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Solution

The fourth proportional to 6,294.81, 9,439.64 and 2,346.33 is: 3,518.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.81 : 9,439.64 = 2,346.33 : x
  2. Step 2: Convert to fraction form
    6,294.81/9,439.64 = 2,346.33/x
  3. Step 3: Cross multiply
    6,294.81x = 9,439.64 × 2,346.33
  4. Step 4: Simplify right side
    6,294.81x = 22,148,542.99
  5. Step 5: Solve for x
    x = 22,148,542.99/6,294.81
  6. Step 6: Final answer
    x = 3,518.54

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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.