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Finding the Fourth Proportional to 6,200.04, 9,288.34 and 4,806.56

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Solution

The fourth proportional to 6,200.04, 9,288.34 and 4,806.56 is: 7,200.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,200.04 : 9,288.34 = 4,806.56 : x
  2. Step 2: Convert to fraction form
    6,200.04/9,288.34 = 4,806.56/x
  3. Step 3: Cross multiply
    6,200.04x = 9,288.34 × 4,806.56
  4. Step 4: Simplify right side
    6,200.04x = 44,644,922.47
  5. Step 5: Solve for x
    x = 44,644,922.47/6,200.04
  6. Step 6: Final answer
    x = 7,200.74

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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.