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Finding the Fourth Proportional to 9,043.92, 13,568.04 and 3,776

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Solution

The fourth proportional to 9,043.92, 13,568.04 and 3,776 is: 5,664.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,043.92 : 13,568.04 = 3,776 : x
  2. Step 2: Convert to fraction form
    9,043.92/13,568.04 = 3,776/x
  3. Step 3: Cross multiply
    9,043.92x = 13,568.04 × 3,776
  4. Step 4: Simplify right side
    9,043.92x = 51,232,919.04
  5. Step 5: Solve for x
    x = 51,232,919.04/9,043.92
  6. Step 6: Final answer
    x = 5,664.90

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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.