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Finding the Fourth Proportional to 6,200.16, 9,288.52 and 4,806.68

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Solution

The fourth proportional to 6,200.16, 9,288.52 and 4,806.68 is: 7,200.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,200.16 : 9,288.52 = 4,806.68 : x
  2. Step 2: Convert to fraction form
    6,200.16/9,288.52 = 4,806.68/x
  3. Step 3: Cross multiply
    6,200.16x = 9,288.52 × 4,806.68
  4. Step 4: Simplify right side
    6,200.16x = 44,646,884.85
  5. Step 5: Solve for x
    x = 44,646,884.85/6,200.16
  6. Step 6: Final answer
    x = 7,200.92

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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.