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Finding the Fourth Proportional to 6,786.48, 9,365.52 and 3,802.32

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Solution

The fourth proportional to 6,786.48, 9,365.52 and 3,802.32 is: 5,247.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,786.48 : 9,365.52 = 3,802.32 : x
  2. Step 2: Convert to fraction form
    6,786.48/9,365.52 = 3,802.32/x
  3. Step 3: Cross multiply
    6,786.48x = 9,365.52 × 3,802.32
  4. Step 4: Simplify right side
    6,786.48x = 35,610,704.01
  5. Step 5: Solve for x
    x = 35,610,704.01/6,786.48
  6. Step 6: Final answer
    x = 5,247.30

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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.