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Finding the Fourth Proportional to 6,348.16, 9,525.48 and 4,797.62

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Solution

The fourth proportional to 6,348.16, 9,525.48 and 4,797.62 is: 7,198.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.16 : 9,525.48 = 4,797.62 : x
  2. Step 2: Convert to fraction form
    6,348.16/9,525.48 = 4,797.62/x
  3. Step 3: Cross multiply
    6,348.16x = 9,525.48 × 4,797.62
  4. Step 4: Simplify right side
    6,348.16x = 45,699,633.36
  5. Step 5: Solve for x
    x = 45,699,633.36/6,348.16
  6. Step 6: Final answer
    x = 7,198.88

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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.