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Finding the Fourth Proportional to 6,277.20, 9,404.88 and 3,806.16

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Solution

The fourth proportional to 6,277.20, 9,404.88 and 3,806.16 is: 5,702.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.20 : 9,404.88 = 3,806.16 : x
  2. Step 2: Convert to fraction form
    6,277.20/9,404.88 = 3,806.16/x
  3. Step 3: Cross multiply
    6,277.20x = 9,404.88 × 3,806.16
  4. Step 4: Simplify right side
    6,277.20x = 35,796,478.06
  5. Step 5: Solve for x
    x = 35,796,478.06/6,277.20
  6. Step 6: Final answer
    x = 5,702.62

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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.