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Finding the Fourth Proportional to 9,966.48, 13,738.71 and 8,195.01

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Solution

The fourth proportional to 9,966.48, 13,738.71 and 8,195.01 is: 11,296.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966.48 : 13,738.71 = 8,195.01 : x
  2. Step 2: Convert to fraction form
    9,966.48/13,738.71 = 8,195.01/x
  3. Step 3: Cross multiply
    9,966.48x = 13,738.71 × 8,195.01
  4. Step 4: Simplify right side
    9,966.48x = 112,588,865.84
  5. Step 5: Solve for x
    x = 112,588,865.84/9,966.48
  6. Step 6: Final answer
    x = 11,296.75

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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.