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Finding the Fourth Proportional to 6,238.76, 9,355.53 and 2,538.47

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Solution

The fourth proportional to 6,238.76, 9,355.53 and 2,538.47 is: 3,806.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238.76 : 9,355.53 = 2,538.47 : x
  2. Step 2: Convert to fraction form
    6,238.76/9,355.53 = 2,538.47/x
  3. Step 3: Cross multiply
    6,238.76x = 9,355.53 × 2,538.47
  4. Step 4: Simplify right side
    6,238.76x = 23,748,765.15
  5. Step 5: Solve for x
    x = 23,748,765.15/6,238.76
  6. Step 6: Final answer
    x = 3,806.65

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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.