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Finding the Fourth Proportional to 6,161.68, 9,251.07 and 4,283.14

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Solution

The fourth proportional to 6,161.68, 9,251.07 and 4,283.14 is: 6,430.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,161.68 : 9,251.07 = 4,283.14 : x
  2. Step 2: Convert to fraction form
    6,161.68/9,251.07 = 4,283.14/x
  3. Step 3: Cross multiply
    6,161.68x = 9,251.07 × 4,283.14
  4. Step 4: Simplify right side
    6,161.68x = 39,623,627.96
  5. Step 5: Solve for x
    x = 39,623,627.96/6,161.68
  6. Step 6: Final answer
    x = 6,430.65

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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.