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Finding the Fourth Proportional to 6,686.87, 9,224.98 and 4,032.80

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Solution

The fourth proportional to 6,686.87, 9,224.98 and 4,032.80 is: 5,563.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686.87 : 9,224.98 = 4,032.80 : x
  2. Step 2: Convert to fraction form
    6,686.87/9,224.98 = 4,032.80/x
  3. Step 3: Cross multiply
    6,686.87x = 9,224.98 × 4,032.80
  4. Step 4: Simplify right side
    6,686.87x = 37,202,479.18
  5. Step 5: Solve for x
    x = 37,202,479.18/6,686.87
  6. Step 6: Final answer
    x = 5,563.52

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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.