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Finding the Fourth Proportional to 9,650, 13,317 and 5,234

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Solution

The fourth proportional to 9,650, 13,317 and 5,234 is: 7,222.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650 : 13,317 = 5,234 : x
  2. Step 2: Convert to fraction form
    9,650/13,317 = 5,234/x
  3. Step 3: Cross multiply
    9,650x = 13,317 × 5,234
  4. Step 4: Simplify right side
    9,650x = 69,701,178
  5. Step 5: Solve for x
    x = 69,701,178/9,650
  6. Step 6: Final answer
    x = 7,222.92

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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.