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Finding the Fourth Proportional to 6,199.52, 9,296.24 and 4,326.30

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Solution

The fourth proportional to 6,199.52, 9,296.24 and 4,326.30 is: 6,487.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.52 : 9,296.24 = 4,326.30 : x
  2. Step 2: Convert to fraction form
    6,199.52/9,296.24 = 4,326.30/x
  3. Step 3: Cross multiply
    6,199.52x = 9,296.24 × 4,326.30
  4. Step 4: Simplify right side
    6,199.52x = 40,218,323.11
  5. Step 5: Solve for x
    x = 40,218,323.11/6,199.52
  6. Step 6: Final answer
    x = 6,487.33

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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.