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Finding the Fourth Proportional to 9,183.66, 12,666.38 and 6,194.76

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Solution

The fourth proportional to 9,183.66, 12,666.38 and 6,194.76 is: 8,544.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,183.66 : 12,666.38 = 6,194.76 : x
  2. Step 2: Convert to fraction form
    9,183.66/12,666.38 = 6,194.76/x
  3. Step 3: Cross multiply
    9,183.66x = 12,666.38 × 6,194.76
  4. Step 4: Simplify right side
    9,183.66x = 78,465,184.17
  5. Step 5: Solve for x
    x = 78,465,184.17/9,183.66
  6. Step 6: Final answer
    x = 8,544.00

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Why These Related Problems?

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