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Finding the Fourth Proportional to 6,814.47, 10,214.01 and 3,473.33

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Solution

The fourth proportional to 6,814.47, 10,214.01 and 3,473.33 is: 5,206.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.47 : 10,214.01 = 3,473.33 : x
  2. Step 2: Convert to fraction form
    6,814.47/10,214.01 = 3,473.33/x
  3. Step 3: Cross multiply
    6,814.47x = 10,214.01 × 3,473.33
  4. Step 4: Simplify right side
    6,814.47x = 35,476,652.89
  5. Step 5: Solve for x
    x = 35,476,652.89/6,814.47
  6. Step 6: Final answer
    x = 5,206.08

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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.