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Finding the Fourth Proportional to 6,302.08, 9,453.12 and 2,600.24

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Solution

The fourth proportional to 6,302.08, 9,453.12 and 2,600.24 is: 3,900.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.08 : 9,453.12 = 2,600.24 : x
  2. Step 2: Convert to fraction form
    6,302.08/9,453.12 = 2,600.24/x
  3. Step 3: Cross multiply
    6,302.08x = 9,453.12 × 2,600.24
  4. Step 4: Simplify right side
    6,302.08x = 24,580,404.38
  5. Step 5: Solve for x
    x = 24,580,404.38/6,302.08
  6. Step 6: Final answer
    x = 3,900.37

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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.