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Finding the Fourth Proportional to 10,204, 14,077.90 and 6,669.25

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Solution

The fourth proportional to 10,204, 14,077.90 and 6,669.25 is: 9,201.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,204 : 14,077.90 = 6,669.25 : x
  2. Step 2: Convert to fraction form
    10,204/14,077.90 = 6,669.25/x
  3. Step 3: Cross multiply
    10,204x = 14,077.90 × 6,669.25
  4. Step 4: Simplify right side
    10,204x = 93,889,034.58
  5. Step 5: Solve for x
    x = 93,889,034.58/10,204
  6. Step 6: Final answer
    x = 9,201.20

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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.