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Finding the Fourth Proportional to 6,117.42, 9,161.54 and 3,339.94

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Solution

The fourth proportional to 6,117.42, 9,161.54 and 3,339.94 is: 5,001.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,117.42 : 9,161.54 = 3,339.94 : x
  2. Step 2: Convert to fraction form
    6,117.42/9,161.54 = 3,339.94/x
  3. Step 3: Cross multiply
    6,117.42x = 9,161.54 × 3,339.94
  4. Step 4: Simplify right side
    6,117.42x = 30,598,993.91
  5. Step 5: Solve for x
    x = 30,598,993.91/6,117.42
  6. Step 6: Final answer
    x = 5,001.94

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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.