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Finding the Fourth Proportional to 9,493.53, 14,240.52 and 2,919.76

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Solution

The fourth proportional to 9,493.53, 14,240.52 and 2,919.76 is: 4,379.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,493.53 : 14,240.52 = 2,919.76 : x
  2. Step 2: Convert to fraction form
    9,493.53/14,240.52 = 2,919.76/x
  3. Step 3: Cross multiply
    9,493.53x = 14,240.52 × 2,919.76
  4. Step 4: Simplify right side
    9,493.53x = 41,578,900.68
  5. Step 5: Solve for x
    x = 41,578,900.68/9,493.53
  6. Step 6: Final answer
    x = 4,379.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.