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Finding the Fourth Proportional to 9,191.23, 12,680.21 and 5,408.39

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Solution

The fourth proportional to 9,191.23, 12,680.21 and 5,408.39 is: 7,461.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,191.23 : 12,680.21 = 5,408.39 : x
  2. Step 2: Convert to fraction form
    9,191.23/12,680.21 = 5,408.39/x
  3. Step 3: Cross multiply
    9,191.23x = 12,680.21 × 5,408.39
  4. Step 4: Simplify right side
    9,191.23x = 68,579,566.18
  5. Step 5: Solve for x
    x = 68,579,566.18/9,191.23
  6. Step 6: Final answer
    x = 7,461.42

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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.