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Finding the Fourth Proportional to 6,686.81, 9,224.89 and 4,032.74

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Solution

The fourth proportional to 6,686.81, 9,224.89 and 4,032.74 is: 5,563.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686.81 : 9,224.89 = 4,032.74 : x
  2. Step 2: Convert to fraction form
    6,686.81/9,224.89 = 4,032.74/x
  3. Step 3: Cross multiply
    6,686.81x = 9,224.89 × 4,032.74
  4. Step 4: Simplify right side
    6,686.81x = 37,201,582.90
  5. Step 5: Solve for x
    x = 37,201,582.90/6,686.81
  6. Step 6: Final answer
    x = 5,563.43

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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.