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Finding the Fourth Proportional to 12,005.91, 16,566.53 and 6,969.33

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Solution

The fourth proportional to 12,005.91, 16,566.53 and 6,969.33 is: 9,616.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,005.91 : 16,566.53 = 6,969.33 : x
  2. Step 2: Convert to fraction form
    12,005.91/16,566.53 = 6,969.33/x
  3. Step 3: Cross multiply
    12,005.91x = 16,566.53 × 6,969.33
  4. Step 4: Simplify right side
    12,005.91x = 115,457,579.68
  5. Step 5: Solve for x
    x = 115,457,579.68/12,005.91
  6. Step 6: Final answer
    x = 9,616.73

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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.