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Finding the Fourth Proportional to 6,418.80, 9,628.32 and 1,801.68

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Solution

The fourth proportional to 6,418.80, 9,628.32 and 1,801.68 is: 2,702.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,418.80 : 9,628.32 = 1,801.68 : x
  2. Step 2: Convert to fraction form
    6,418.80/9,628.32 = 1,801.68/x
  3. Step 3: Cross multiply
    6,418.80x = 9,628.32 × 1,801.68
  4. Step 4: Simplify right side
    6,418.80x = 17,347,151.58
  5. Step 5: Solve for x
    x = 17,347,151.58/6,418.80
  6. Step 6: Final answer
    x = 2,702.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.