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Finding the Fourth Proportional to 8,673.29, 13,009.97 and 2,099.47

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Solution

The fourth proportional to 8,673.29, 13,009.97 and 2,099.47 is: 3,149.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,673.29 : 13,009.97 = 2,099.47 : x
  2. Step 2: Convert to fraction form
    8,673.29/13,009.97 = 2,099.47/x
  3. Step 3: Cross multiply
    8,673.29x = 13,009.97 × 2,099.47
  4. Step 4: Simplify right side
    8,673.29x = 27,314,041.72
  5. Step 5: Solve for x
    x = 27,314,041.72/8,673.29
  6. Step 6: Final answer
    x = 3,149.21

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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.