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Finding the Fourth Proportional to 9,513.76, 14,269.44 and 2,939.44

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Solution

The fourth proportional to 9,513.76, 14,269.44 and 2,939.44 is: 4,408.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,513.76 : 14,269.44 = 2,939.44 : x
  2. Step 2: Convert to fraction form
    9,513.76/14,269.44 = 2,939.44/x
  3. Step 3: Cross multiply
    9,513.76x = 14,269.44 × 2,939.44
  4. Step 4: Simplify right side
    9,513.76x = 41,944,162.71
  5. Step 5: Solve for x
    x = 41,944,162.71/9,513.76
  6. Step 6: Final answer
    x = 4,408.79

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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.