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Finding the Fourth Proportional to 9,664.26, 13,334.85 and 9,172.14

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Solution

The fourth proportional to 9,664.26, 13,334.85 and 9,172.14 is: 12,655.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664.26 : 13,334.85 = 9,172.14 : x
  2. Step 2: Convert to fraction form
    9,664.26/13,334.85 = 9,172.14/x
  3. Step 3: Cross multiply
    9,664.26x = 13,334.85 × 9,172.14
  4. Step 4: Simplify right side
    9,664.26x = 122,309,111.08
  5. Step 5: Solve for x
    x = 122,309,111.08/9,664.26
  6. Step 6: Final answer
    x = 12,655.82

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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.