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Finding the Fourth Proportional to 6,129.18, 9,190.86 and 4,282.38

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Solution

The fourth proportional to 6,129.18, 9,190.86 and 4,282.38 is: 6,421.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129.18 : 9,190.86 = 4,282.38 : x
  2. Step 2: Convert to fraction form
    6,129.18/9,190.86 = 4,282.38/x
  3. Step 3: Cross multiply
    6,129.18x = 9,190.86 × 4,282.38
  4. Step 4: Simplify right side
    6,129.18x = 39,358,755.05
  5. Step 5: Solve for x
    x = 39,358,755.05/6,129.18
  6. Step 6: Final answer
    x = 6,421.54

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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.