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Finding the Fourth Proportional to 6,826.68, 9,422.02 and 6,515.03

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Solution

The fourth proportional to 6,826.68, 9,422.02 and 6,515.03 is: 8,991.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,826.68 : 9,422.02 = 6,515.03 : x
  2. Step 2: Convert to fraction form
    6,826.68/9,422.02 = 6,515.03/x
  3. Step 3: Cross multiply
    6,826.68x = 9,422.02 × 6,515.03
  4. Step 4: Simplify right side
    6,826.68x = 61,384,774.66
  5. Step 5: Solve for x
    x = 61,384,774.66/6,826.68
  6. Step 6: Final answer
    x = 8,991.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.