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Finding the Fourth Proportional to 9,441.45, 14,093.24 and 8,117.10

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Solution

The fourth proportional to 9,441.45, 14,093.24 and 8,117.10 is: 12,116.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,441.45 : 14,093.24 = 8,117.10 : x
  2. Step 2: Convert to fraction form
    9,441.45/14,093.24 = 8,117.10/x
  3. Step 3: Cross multiply
    9,441.45x = 14,093.24 × 8,117.10
  4. Step 4: Simplify right side
    9,441.45x = 114,396,197.82
  5. Step 5: Solve for x
    x = 114,396,197.82/9,441.45
  6. Step 6: Final answer
    x = 12,116.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.