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Finding the Fourth Proportional to 6,290.46, 9,419.22 and 4,207.14

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Solution

The fourth proportional to 6,290.46, 9,419.22 and 4,207.14 is: 6,299.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,290.46 : 9,419.22 = 4,207.14 : x
  2. Step 2: Convert to fraction form
    6,290.46/9,419.22 = 4,207.14/x
  3. Step 3: Cross multiply
    6,290.46x = 9,419.22 × 4,207.14
  4. Step 4: Simplify right side
    6,290.46x = 39,627,977.23
  5. Step 5: Solve for x
    x = 39,627,977.23/6,290.46
  6. Step 6: Final answer
    x = 6,299.69

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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.