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Finding the Fourth Proportional to 9,241.28, 12,755.24 and 7,746.83

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Solution

The fourth proportional to 9,241.28, 12,755.24 and 7,746.83 is: 10,692.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,241.28 : 12,755.24 = 7,746.83 : x
  2. Step 2: Convert to fraction form
    9,241.28/12,755.24 = 7,746.83/x
  3. Step 3: Cross multiply
    9,241.28x = 12,755.24 × 7,746.83
  4. Step 4: Simplify right side
    9,241.28x = 98,812,637.16
  5. Step 5: Solve for x
    x = 98,812,637.16/9,241.28
  6. Step 6: Final answer
    x = 10,692.53

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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.