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Finding the Fourth Proportional to 6,538.66, 9,023.12 and 3,743.62

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Solution

The fourth proportional to 6,538.66, 9,023.12 and 3,743.62 is: 5,166.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.66 : 9,023.12 = 3,743.62 : x
  2. Step 2: Convert to fraction form
    6,538.66/9,023.12 = 3,743.62/x
  3. Step 3: Cross multiply
    6,538.66x = 9,023.12 × 3,743.62
  4. Step 4: Simplify right side
    6,538.66x = 33,779,132.49
  5. Step 5: Solve for x
    x = 33,779,132.49/6,538.66
  6. Step 6: Final answer
    x = 5,166.06

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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.