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Finding the Fourth Proportional to 6,228.20, 8,584.71 and 5,047.22

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Solution

The fourth proportional to 6,228.20, 8,584.71 and 5,047.22 is: 6,956.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,228.20 : 8,584.71 = 5,047.22 : x
  2. Step 2: Convert to fraction form
    6,228.20/8,584.71 = 5,047.22/x
  3. Step 3: Cross multiply
    6,228.20x = 8,584.71 × 5,047.22
  4. Step 4: Simplify right side
    6,228.20x = 43,328,920.01
  5. Step 5: Solve for x
    x = 43,328,920.01/6,228.20
  6. Step 6: Final answer
    x = 6,956.89

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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.