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Finding the Fourth Proportional to 6,555.57, 9,830.17 and 2,171.55

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Solution

The fourth proportional to 6,555.57, 9,830.17 and 2,171.55 is: 3,256.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,555.57 : 9,830.17 = 2,171.55 : x
  2. Step 2: Convert to fraction form
    6,555.57/9,830.17 = 2,171.55/x
  3. Step 3: Cross multiply
    6,555.57x = 9,830.17 × 2,171.55
  4. Step 4: Simplify right side
    6,555.57x = 21,346,705.66
  5. Step 5: Solve for x
    x = 21,346,705.66/6,555.57
  6. Step 6: Final answer
    x = 3,256.27

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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.