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Finding the Fourth Proportional to 6,197.32, 9,300.03 and 5,787.33

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Solution

The fourth proportional to 6,197.32, 9,300.03 and 5,787.33 is: 8,684.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.32 : 9,300.03 = 5,787.33 : x
  2. Step 2: Convert to fraction form
    6,197.32/9,300.03 = 5,787.33/x
  3. Step 3: Cross multiply
    6,197.32x = 9,300.03 × 5,787.33
  4. Step 4: Simplify right side
    6,197.32x = 53,822,342.62
  5. Step 5: Solve for x
    x = 53,822,342.62/6,197.32
  6. Step 6: Final answer
    x = 8,684.78

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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.