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Finding the Fourth Proportional to 6,882.16, 9,495.48 and 4,228.60

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Solution

The fourth proportional to 6,882.16, 9,495.48 and 4,228.60 is: 5,834.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,882.16 : 9,495.48 = 4,228.60 : x
  2. Step 2: Convert to fraction form
    6,882.16/9,495.48 = 4,228.60/x
  3. Step 3: Cross multiply
    6,882.16x = 9,495.48 × 4,228.60
  4. Step 4: Simplify right side
    6,882.16x = 40,152,586.73
  5. Step 5: Solve for x
    x = 40,152,586.73/6,882.16
  6. Step 6: Final answer
    x = 5,834.30

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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.