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Finding the Fourth Proportional to 9,101.40, 13,653.28 and 3,179.48

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Solution

The fourth proportional to 9,101.40, 13,653.28 and 3,179.48 is: 4,769.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,101.40 : 13,653.28 = 3,179.48 : x
  2. Step 2: Convert to fraction form
    9,101.40/13,653.28 = 3,179.48/x
  3. Step 3: Cross multiply
    9,101.40x = 13,653.28 × 3,179.48
  4. Step 4: Simplify right side
    9,101.40x = 43,410,330.69
  5. Step 5: Solve for x
    x = 43,410,330.69/9,101.40
  6. Step 6: Final answer
    x = 4,769.63

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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.