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Finding the Fourth Proportional to 9,186.46, 12,673.54 and 5,998.66

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Solution

The fourth proportional to 9,186.46, 12,673.54 and 5,998.66 is: 8,275.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186.46 : 12,673.54 = 5,998.66 : x
  2. Step 2: Convert to fraction form
    9,186.46/12,673.54 = 5,998.66/x
  3. Step 3: Cross multiply
    9,186.46x = 12,673.54 × 5,998.66
  4. Step 4: Simplify right side
    9,186.46x = 76,024,257.46
  5. Step 5: Solve for x
    x = 76,024,257.46/9,186.46
  6. Step 6: Final answer
    x = 8,275.69

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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.