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Finding the Fourth Proportional to 9,965.66, 14,944.95 and 2,943.81

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Solution

The fourth proportional to 9,965.66, 14,944.95 and 2,943.81 is: 4,414.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.66 : 14,944.95 = 2,943.81 : x
  2. Step 2: Convert to fraction form
    9,965.66/14,944.95 = 2,943.81/x
  3. Step 3: Cross multiply
    9,965.66x = 14,944.95 × 2,943.81
  4. Step 4: Simplify right side
    9,965.66x = 43,995,093.26
  5. Step 5: Solve for x
    x = 43,995,093.26/9,965.66
  6. Step 6: Final answer
    x = 4,414.67

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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.