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Finding the Fourth Proportional to 7,076.91, 9,767.75 and 4,388.72

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Solution

The fourth proportional to 7,076.91, 9,767.75 and 4,388.72 is: 6,057.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,076.91 : 9,767.75 = 4,388.72 : x
  2. Step 2: Convert to fraction form
    7,076.91/9,767.75 = 4,388.72/x
  3. Step 3: Cross multiply
    7,076.91x = 9,767.75 × 4,388.72
  4. Step 4: Simplify right side
    7,076.91x = 42,867,922.26
  5. Step 5: Solve for x
    x = 42,867,922.26/7,076.91
  6. Step 6: Final answer
    x = 6,057.43

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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.