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Finding the Fourth Proportional to 6,686.36, 9,224.27 and 4,032.29

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Solution

The fourth proportional to 6,686.36, 9,224.27 and 4,032.29 is: 5,562.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686.36 : 9,224.27 = 4,032.29 : x
  2. Step 2: Convert to fraction form
    6,686.36/9,224.27 = 4,032.29/x
  3. Step 3: Cross multiply
    6,686.36x = 9,224.27 × 4,032.29
  4. Step 4: Simplify right side
    6,686.36x = 37,194,949.70
  5. Step 5: Solve for x
    x = 37,194,949.70/6,686.36
  6. Step 6: Final answer
    x = 5,562.81

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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.