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Finding the Fourth Proportional to 6,820.83, 9,371.96 and 5,421.15

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Solution

The fourth proportional to 6,820.83, 9,371.96 and 5,421.15 is: 7,448.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820.83 : 9,371.96 = 5,421.15 : x
  2. Step 2: Convert to fraction form
    6,820.83/9,371.96 = 5,421.15/x
  3. Step 3: Cross multiply
    6,820.83x = 9,371.96 × 5,421.15
  4. Step 4: Simplify right side
    6,820.83x = 50,806,773.85
  5. Step 5: Solve for x
    x = 50,806,773.85/6,820.83
  6. Step 6: Final answer
    x = 7,448.77

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.