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Finding the Fourth Proportional to 9,161.67, 13,746.83 and 3,316.71

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Solution

The fourth proportional to 9,161.67, 13,746.83 and 3,316.71 is: 4,976.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,161.67 : 13,746.83 = 3,316.71 : x
  2. Step 2: Convert to fraction form
    9,161.67/13,746.83 = 3,316.71/x
  3. Step 3: Cross multiply
    9,161.67x = 13,746.83 × 3,316.71
  4. Step 4: Simplify right side
    9,161.67x = 45,594,231.95
  5. Step 5: Solve for x
    x = 45,594,231.95/9,161.67
  6. Step 6: Final answer
    x = 4,976.63

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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.