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Finding the Fourth Proportional to 6,377.28, 9,564.54 and 4,523.22

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Solution

The fourth proportional to 6,377.28, 9,564.54 and 4,523.22 is: 6,783.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,377.28 : 9,564.54 = 4,523.22 : x
  2. Step 2: Convert to fraction form
    6,377.28/9,564.54 = 4,523.22/x
  3. Step 3: Cross multiply
    6,377.28x = 9,564.54 × 4,523.22
  4. Step 4: Simplify right side
    6,377.28x = 43,262,518.62
  5. Step 5: Solve for x
    x = 43,262,518.62/6,377.28
  6. Step 6: Final answer
    x = 6,783.85

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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.