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Finding the Fourth Proportional to 9,178.11, 12,673.06 and 5,993.60

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Solution

The fourth proportional to 9,178.11, 12,673.06 and 5,993.60 is: 8,275.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.11 : 12,673.06 = 5,993.60 : x
  2. Step 2: Convert to fraction form
    9,178.11/12,673.06 = 5,993.60/x
  3. Step 3: Cross multiply
    9,178.11x = 12,673.06 × 5,993.60
  4. Step 4: Simplify right side
    9,178.11x = 75,957,174.07
  5. Step 5: Solve for x
    x = 75,957,174.07/9,178.11
  6. Step 6: Final answer
    x = 8,275.91

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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.