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Finding the Fourth Proportional to 6,500.25, 8,971.23 and 3,668.21

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Solution

The fourth proportional to 6,500.25, 8,971.23 and 3,668.21 is: 5,062.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.25 : 8,971.23 = 3,668.21 : x
  2. Step 2: Convert to fraction form
    6,500.25/8,971.23 = 3,668.21/x
  3. Step 3: Cross multiply
    6,500.25x = 8,971.23 × 3,668.21
  4. Step 4: Simplify right side
    6,500.25x = 32,908,310.74
  5. Step 5: Solve for x
    x = 32,908,310.74/6,500.25
  6. Step 6: Final answer
    x = 5,062.62

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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.