Home / 9,408-12,983.12-5,216.25

Finding the Fourth Proportional to 9,408, 12,983.12 and 5,216.25

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Solution

The fourth proportional to 9,408, 12,983.12 and 5,216.25 is: 7,198.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,408 : 12,983.12 = 5,216.25 : x
  2. Step 2: Convert to fraction form
    9,408/12,983.12 = 5,216.25/x
  3. Step 3: Cross multiply
    9,408x = 12,983.12 × 5,216.25
  4. Step 4: Simplify right side
    9,408x = 67,723,173.62
  5. Step 5: Solve for x
    x = 67,723,173.62/9,408
  6. Step 6: Final answer
    x = 7,198.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.