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Finding the Fourth Proportional to 38,906, 58,359 and 9,722

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Solution

The fourth proportional to 38,906, 58,359 and 9,722 is: 14,583

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,906 : 58,359 = 9,722 : x
  2. Step 2: Convert to fraction form
    38,906/58,359 = 9,722/x
  3. Step 3: Cross multiply
    38,906x = 58,359 × 9,722
  4. Step 4: Simplify right side
    38,906x = 567,366,198
  5. Step 5: Solve for x
    x = 567,366,198/38,906
  6. Step 6: Final answer
    x = 14,583

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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.