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Finding the Fourth Proportional to 6,659.72, 9,190.71 and 3,828.01

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Solution

The fourth proportional to 6,659.72, 9,190.71 and 3,828.01 is: 5,282.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,659.72 : 9,190.71 = 3,828.01 : x
  2. Step 2: Convert to fraction form
    6,659.72/9,190.71 = 3,828.01/x
  3. Step 3: Cross multiply
    6,659.72x = 9,190.71 × 3,828.01
  4. Step 4: Simplify right side
    6,659.72x = 35,182,106.81
  5. Step 5: Solve for x
    x = 35,182,106.81/6,659.72
  6. Step 6: Final answer
    x = 5,282.82

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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.