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Finding the Fourth Proportional to 6,086.36, 9,122.88 and 4,007.78

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Solution

The fourth proportional to 6,086.36, 9,122.88 and 4,007.78 is: 6,007.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,086.36 : 9,122.88 = 4,007.78 : x
  2. Step 2: Convert to fraction form
    6,086.36/9,122.88 = 4,007.78/x
  3. Step 3: Cross multiply
    6,086.36x = 9,122.88 × 4,007.78
  4. Step 4: Simplify right side
    6,086.36x = 36,562,496.01
  5. Step 5: Solve for x
    x = 36,562,496.01/6,086.36
  6. Step 6: Final answer
    x = 6,007.28

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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.