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Finding the Fourth Proportional to 9,408.11, 14,111.02 and 5,461.52

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Solution

The fourth proportional to 9,408.11, 14,111.02 and 5,461.52 is: 8,191.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,408.11 : 14,111.02 = 5,461.52 : x
  2. Step 2: Convert to fraction form
    9,408.11/14,111.02 = 5,461.52/x
  3. Step 3: Cross multiply
    9,408.11x = 14,111.02 × 5,461.52
  4. Step 4: Simplify right side
    9,408.11x = 77,067,617.95
  5. Step 5: Solve for x
    x = 77,067,617.95/9,408.11
  6. Step 6: Final answer
    x = 8,191.62

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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.