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Finding the Fourth Proportional to 9,243.80, 12,756.42 and 5,052.05

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Solution

The fourth proportional to 9,243.80, 12,756.42 and 5,052.05 is: 6,971.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,243.80 : 12,756.42 = 5,052.05 : x
  2. Step 2: Convert to fraction form
    9,243.80/12,756.42 = 5,052.05/x
  3. Step 3: Cross multiply
    9,243.80x = 12,756.42 × 5,052.05
  4. Step 4: Simplify right side
    9,243.80x = 64,446,007.88
  5. Step 5: Solve for x
    x = 64,446,007.88/9,243.80
  6. Step 6: Final answer
    x = 6,971.81

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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.