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Finding the Fourth Proportional to 12,004.92, 16,567.29 and 6,969.06

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Solution

The fourth proportional to 12,004.92, 16,567.29 and 6,969.06 is: 9,617.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,004.92 : 16,567.29 = 6,969.06 : x
  2. Step 2: Convert to fraction form
    12,004.92/16,567.29 = 6,969.06/x
  3. Step 3: Cross multiply
    12,004.92x = 16,567.29 × 6,969.06
  4. Step 4: Simplify right side
    12,004.92x = 115,458,438.05
  5. Step 5: Solve for x
    x = 115,458,438.05/12,004.92
  6. Step 6: Final answer
    x = 9,617.59

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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.