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Finding the Fourth Proportional to 9,249.28, 13,875.20 and 3,776

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Solution

The fourth proportional to 9,249.28, 13,875.20 and 3,776 is: 5,664.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,249.28 : 13,875.20 = 3,776 : x
  2. Step 2: Convert to fraction form
    9,249.28/13,875.20 = 3,776/x
  3. Step 3: Cross multiply
    9,249.28x = 13,875.20 × 3,776
  4. Step 4: Simplify right side
    9,249.28x = 52,392,755.20
  5. Step 5: Solve for x
    x = 52,392,755.20/9,249.28
  6. Step 6: Final answer
    x = 5,664.52

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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.