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Finding the Fourth Proportional to 6,538.60, 9,023.23 and 3,705.96

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Solution

The fourth proportional to 6,538.60, 9,023.23 and 3,705.96 is: 5,114.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.60 : 9,023.23 = 3,705.96 : x
  2. Step 2: Convert to fraction form
    6,538.60/9,023.23 = 3,705.96/x
  3. Step 3: Cross multiply
    6,538.60x = 9,023.23 × 3,705.96
  4. Step 4: Simplify right side
    6,538.60x = 33,439,729.45
  5. Step 5: Solve for x
    x = 33,439,729.45/6,538.60
  6. Step 6: Final answer
    x = 5,114.20

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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.