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Finding the Fourth Proportional to 34,252, 51,378 and 9,628

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Solution

The fourth proportional to 34,252, 51,378 and 9,628 is: 14,442

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,252 : 51,378 = 9,628 : x
  2. Step 2: Convert to fraction form
    34,252/51,378 = 9,628/x
  3. Step 3: Cross multiply
    34,252x = 51,378 × 9,628
  4. Step 4: Simplify right side
    34,252x = 494,667,384
  5. Step 5: Solve for x
    x = 494,667,384/34,252
  6. Step 6: Final answer
    x = 14,442

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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.