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Finding the Fourth Proportional to 6,290.92, 9,419.82 and 4,431.94

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Solution

The fourth proportional to 6,290.92, 9,419.82 and 4,431.94 is: 6,636.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,290.92 : 9,419.82 = 4,431.94 : x
  2. Step 2: Convert to fraction form
    6,290.92/9,419.82 = 4,431.94/x
  3. Step 3: Cross multiply
    6,290.92x = 9,419.82 × 4,431.94
  4. Step 4: Simplify right side
    6,290.92x = 41,748,077.05
  5. Step 5: Solve for x
    x = 41,748,077.05/6,290.92
  6. Step 6: Final answer
    x = 6,636.24

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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.