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Finding the Fourth Proportional to 9,564.36, 13,193.49 and 8,887.81

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Solution

The fourth proportional to 9,564.36, 13,193.49 and 8,887.81 is: 12,260.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.36 : 13,193.49 = 8,887.81 : x
  2. Step 2: Convert to fraction form
    9,564.36/13,193.49 = 8,887.81/x
  3. Step 3: Cross multiply
    9,564.36x = 13,193.49 × 8,887.81
  4. Step 4: Simplify right side
    9,564.36x = 117,261,232.36
  5. Step 5: Solve for x
    x = 117,261,232.36/9,564.36
  6. Step 6: Final answer
    x = 12,260.23

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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.