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Finding the Fourth Proportional to 7,238.78, 9,989.46 and 4,052.06

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Solution

The fourth proportional to 7,238.78, 9,989.46 and 4,052.06 is: 5,591.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,238.78 : 9,989.46 = 4,052.06 : x
  2. Step 2: Convert to fraction form
    7,238.78/9,989.46 = 4,052.06/x
  3. Step 3: Cross multiply
    7,238.78x = 9,989.46 × 4,052.06
  4. Step 4: Simplify right side
    7,238.78x = 40,477,891.29
  5. Step 5: Solve for x
    x = 40,477,891.29/7,238.78
  6. Step 6: Final answer
    x = 5,591.81

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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.