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Finding the Fourth Proportional to 6,530.50, 9,012.09 and 3,736

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Solution

The fourth proportional to 6,530.50, 9,012.09 and 3,736 is: 5,155.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.50 : 9,012.09 = 3,736 : x
  2. Step 2: Convert to fraction form
    6,530.50/9,012.09 = 3,736/x
  3. Step 3: Cross multiply
    6,530.50x = 9,012.09 × 3,736
  4. Step 4: Simplify right side
    6,530.50x = 33,669,168.24
  5. Step 5: Solve for x
    x = 33,669,168.24/6,530.50
  6. Step 6: Final answer
    x = 5,155.68

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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.