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Finding the Fourth Proportional to 6,786.52, 9,365.40 and 3,802.37

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Solution

The fourth proportional to 6,786.52, 9,365.40 and 3,802.37 is: 5,247.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,786.52 : 9,365.40 = 3,802.37 : x
  2. Step 2: Convert to fraction form
    6,786.52/9,365.40 = 3,802.37/x
  3. Step 3: Cross multiply
    6,786.52x = 9,365.40 × 3,802.37
  4. Step 4: Simplify right side
    6,786.52x = 35,610,669.17
  5. Step 5: Solve for x
    x = 35,610,669.17/6,786.52
  6. Step 6: Final answer
    x = 5,247.27

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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.