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Finding the Fourth Proportional to 6,500.11, 8,970.16 and 3,668.09

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Solution

The fourth proportional to 6,500.11, 8,970.16 and 3,668.09 is: 5,061.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.11 : 8,970.16 = 3,668.09 : x
  2. Step 2: Convert to fraction form
    6,500.11/8,970.16 = 3,668.09/x
  3. Step 3: Cross multiply
    6,500.11x = 8,970.16 × 3,668.09
  4. Step 4: Simplify right side
    6,500.11x = 32,903,313.43
  5. Step 5: Solve for x
    x = 32,903,313.43/6,500.11
  6. Step 6: Final answer
    x = 5,061.96

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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.