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Finding the Fourth Proportional to 6,331.33, 9,497 and 1,948.69

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Solution

The fourth proportional to 6,331.33, 9,497 and 1,948.69 is: 2,923.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,331.33 : 9,497 = 1,948.69 : x
  2. Step 2: Convert to fraction form
    6,331.33/9,497 = 1,948.69/x
  3. Step 3: Cross multiply
    6,331.33x = 9,497 × 1,948.69
  4. Step 4: Simplify right side
    6,331.33x = 18,506,708.93
  5. Step 5: Solve for x
    x = 18,506,708.93/6,331.33
  6. Step 6: Final answer
    x = 2,923.04

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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.