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Finding the Fourth Proportional to 6,515.91, 9,775.35 and 2,133.27

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Solution

The fourth proportional to 6,515.91, 9,775.35 and 2,133.27 is: 3,200.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,515.91 : 9,775.35 = 2,133.27 : x
  2. Step 2: Convert to fraction form
    6,515.91/9,775.35 = 2,133.27/x
  3. Step 3: Cross multiply
    6,515.91x = 9,775.35 × 2,133.27
  4. Step 4: Simplify right side
    6,515.91x = 20,853,460.89
  5. Step 5: Solve for x
    x = 20,853,460.89/6,515.91
  6. Step 6: Final answer
    x = 3,200.39

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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.