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Finding the Fourth Proportional to 9,187.08, 12,666.09 and 6,632.68

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Solution

The fourth proportional to 9,187.08, 12,666.09 and 6,632.68 is: 9,144.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,187.08 : 12,666.09 = 6,632.68 : x
  2. Step 2: Convert to fraction form
    9,187.08/12,666.09 = 6,632.68/x
  3. Step 3: Cross multiply
    9,187.08x = 12,666.09 × 6,632.68
  4. Step 4: Simplify right side
    9,187.08x = 84,010,121.82
  5. Step 5: Solve for x
    x = 84,010,121.82/9,187.08
  6. Step 6: Final answer
    x = 9,144.38

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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.