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Finding the Fourth Proportional to 11,969.32, 16,513.92 and 6,663.22

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Solution

The fourth proportional to 11,969.32, 16,513.92 and 6,663.22 is: 9,193.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,969.32 : 16,513.92 = 6,663.22 : x
  2. Step 2: Convert to fraction form
    11,969.32/16,513.92 = 6,663.22/x
  3. Step 3: Cross multiply
    11,969.32x = 16,513.92 × 6,663.22
  4. Step 4: Simplify right side
    11,969.32x = 110,035,882.02
  5. Step 5: Solve for x
    x = 110,035,882.02/11,969.32
  6. Step 6: Final answer
    x = 9,193.16

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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.