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Finding the Fourth Proportional to 6,785.36, 9,365.65 and 4,132.74

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Solution

The fourth proportional to 6,785.36, 9,365.65 and 4,132.74 is: 5,704.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,785.36 : 9,365.65 = 4,132.74 : x
  2. Step 2: Convert to fraction form
    6,785.36/9,365.65 = 4,132.74/x
  3. Step 3: Cross multiply
    6,785.36x = 9,365.65 × 4,132.74
  4. Step 4: Simplify right side
    6,785.36x = 38,705,786.05
  5. Step 5: Solve for x
    x = 38,705,786.05/6,785.36
  6. Step 6: Final answer
    x = 5,704.31

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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.