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Finding the Fourth Proportional to 9,033.05, 12,452.96 and 7,787.36

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Solution

The fourth proportional to 9,033.05, 12,452.96 and 7,787.36 is: 10,735.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,033.05 : 12,452.96 = 7,787.36 : x
  2. Step 2: Convert to fraction form
    9,033.05/12,452.96 = 7,787.36/x
  3. Step 3: Cross multiply
    9,033.05x = 12,452.96 × 7,787.36
  4. Step 4: Simplify right side
    9,033.05x = 96,975,733.19
  5. Step 5: Solve for x
    x = 96,975,733.19/9,033.05
  6. Step 6: Final answer
    x = 10,735.65

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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.