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Finding the Fourth Proportional to 9,669.77, 14,485.14 and 8,105.36

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Solution

The fourth proportional to 9,669.77, 14,485.14 and 8,105.36 is: 12,141.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,669.77 : 14,485.14 = 8,105.36 : x
  2. Step 2: Convert to fraction form
    9,669.77/14,485.14 = 8,105.36/x
  3. Step 3: Cross multiply
    9,669.77x = 14,485.14 × 8,105.36
  4. Step 4: Simplify right side
    9,669.77x = 117,407,274.35
  5. Step 5: Solve for x
    x = 117,407,274.35/9,669.77
  6. Step 6: Final answer
    x = 12,141.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.