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Finding the Fourth Proportional to 6,556.35, 9,833.14 and 2,114.43

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Solution

The fourth proportional to 6,556.35, 9,833.14 and 2,114.43 is: 3,171.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,556.35 : 9,833.14 = 2,114.43 : x
  2. Step 2: Convert to fraction form
    6,556.35/9,833.14 = 2,114.43/x
  3. Step 3: Cross multiply
    6,556.35x = 9,833.14 × 2,114.43
  4. Step 4: Simplify right side
    6,556.35x = 20,791,426.47
  5. Step 5: Solve for x
    x = 20,791,426.47/6,556.35
  6. Step 6: Final answer
    x = 3,171.19

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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.