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Finding the Fourth Proportional to 8,920.26, 12,309.57 and 5,941.49

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Solution

The fourth proportional to 8,920.26, 12,309.57 and 5,941.49 is: 8,198.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,920.26 : 12,309.57 = 5,941.49 : x
  2. Step 2: Convert to fraction form
    8,920.26/12,309.57 = 5,941.49/x
  3. Step 3: Cross multiply
    8,920.26x = 12,309.57 × 5,941.49
  4. Step 4: Simplify right side
    8,920.26x = 73,137,125.51
  5. Step 5: Solve for x
    x = 73,137,125.51/8,920.26
  6. Step 6: Final answer
    x = 8,198.99

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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.