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Finding the Fourth Proportional to 6,500.26, 8,970.33 and 3,516.09

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Solution

The fourth proportional to 6,500.26, 8,970.33 and 3,516.09 is: 4,852.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.26 : 8,970.33 = 3,516.09 : x
  2. Step 2: Convert to fraction form
    6,500.26/8,970.33 = 3,516.09/x
  3. Step 3: Cross multiply
    6,500.26x = 8,970.33 × 3,516.09
  4. Step 4: Simplify right side
    6,500.26x = 31,540,487.61
  5. Step 5: Solve for x
    x = 31,540,487.61/6,500.26
  6. Step 6: Final answer
    x = 4,852.19

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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.