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Finding the Fourth Proportional to 6,302.98, 9,454.22 and 2,602.43

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Solution

The fourth proportional to 6,302.98, 9,454.22 and 2,602.43 is: 3,903.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.98 : 9,454.22 = 2,602.43 : x
  2. Step 2: Convert to fraction form
    6,302.98/9,454.22 = 2,602.43/x
  3. Step 3: Cross multiply
    6,302.98x = 9,454.22 × 2,602.43
  4. Step 4: Simplify right side
    6,302.98x = 24,603,930.68
  5. Step 5: Solve for x
    x = 24,603,930.68/6,302.98
  6. Step 6: Final answer
    x = 3,903.54

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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.