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Finding the Fourth Proportional to 9,634.24, 14,424.66 and 4,944.16

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Solution

The fourth proportional to 9,634.24, 14,424.66 and 4,944.16 is: 7,402.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,634.24 : 14,424.66 = 4,944.16 : x
  2. Step 2: Convert to fraction form
    9,634.24/14,424.66 = 4,944.16/x
  3. Step 3: Cross multiply
    9,634.24x = 14,424.66 × 4,944.16
  4. Step 4: Simplify right side
    9,634.24x = 71,317,826.99
  5. Step 5: Solve for x
    x = 71,317,826.99/9,634.24
  6. Step 6: Final answer
    x = 7,402.54

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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.