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Finding the Fourth Proportional to 9,161.83, 12,642.82 and 5,183.74

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Solution

The fourth proportional to 9,161.83, 12,642.82 and 5,183.74 is: 7,153.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,161.83 : 12,642.82 = 5,183.74 : x
  2. Step 2: Convert to fraction form
    9,161.83/12,642.82 = 5,183.74/x
  3. Step 3: Cross multiply
    9,161.83x = 12,642.82 × 5,183.74
  4. Step 4: Simplify right side
    9,161.83x = 65,537,091.75
  5. Step 5: Solve for x
    x = 65,537,091.75/9,161.83
  6. Step 6: Final answer
    x = 7,153.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.