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Finding the Fourth Proportional to 6,546.60, 9,039.42 and 4,029.90

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Solution

The fourth proportional to 6,546.60, 9,039.42 and 4,029.90 is: 5,564.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.60 : 9,039.42 = 4,029.90 : x
  2. Step 2: Convert to fraction form
    6,546.60/9,039.42 = 4,029.90/x
  3. Step 3: Cross multiply
    6,546.60x = 9,039.42 × 4,029.90
  4. Step 4: Simplify right side
    6,546.60x = 36,427,958.66
  5. Step 5: Solve for x
    x = 36,427,958.66/6,546.60
  6. Step 6: Final answer
    x = 5,564.41

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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.