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Finding the Fourth Proportional to 6,513.06, 9,769.59 and 2,814.60

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Solution

The fourth proportional to 6,513.06, 9,769.59 and 2,814.60 is: 4,221.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513.06 : 9,769.59 = 2,814.60 : x
  2. Step 2: Convert to fraction form
    6,513.06/9,769.59 = 2,814.60/x
  3. Step 3: Cross multiply
    6,513.06x = 9,769.59 × 2,814.60
  4. Step 4: Simplify right side
    6,513.06x = 27,497,488.01
  5. Step 5: Solve for x
    x = 27,497,488.01/6,513.06
  6. Step 6: Final answer
    x = 4,221.90

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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.