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Finding the Fourth Proportional to 6,166.52, 9,250.29 and 2,005.46

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Solution

The fourth proportional to 6,166.52, 9,250.29 and 2,005.46 is: 3,008.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.52 : 9,250.29 = 2,005.46 : x
  2. Step 2: Convert to fraction form
    6,166.52/9,250.29 = 2,005.46/x
  3. Step 3: Cross multiply
    6,166.52x = 9,250.29 × 2,005.46
  4. Step 4: Simplify right side
    6,166.52x = 18,551,040.33
  5. Step 5: Solve for x
    x = 18,551,040.33/6,166.52
  6. Step 6: Final answer
    x = 3,008.35

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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.