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Finding the Fourth Proportional to 6,513.14, 9,769.55 and 3,135.17

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Solution

The fourth proportional to 6,513.14, 9,769.55 and 3,135.17 is: 4,702.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513.14 : 9,769.55 = 3,135.17 : x
  2. Step 2: Convert to fraction form
    6,513.14/9,769.55 = 3,135.17/x
  3. Step 3: Cross multiply
    6,513.14x = 9,769.55 × 3,135.17
  4. Step 4: Simplify right side
    6,513.14x = 30,629,208.82
  5. Step 5: Solve for x
    x = 30,629,208.82/6,513.14
  6. Step 6: Final answer
    x = 4,702.68

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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.