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Finding the Fourth Proportional to 34,398, 51,600 and 9,774

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Solution

The fourth proportional to 34,398, 51,600 and 9,774 is: 14,661.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,398 : 51,600 = 9,774 : x
  2. Step 2: Convert to fraction form
    34,398/51,600 = 9,774/x
  3. Step 3: Cross multiply
    34,398x = 51,600 × 9,774
  4. Step 4: Simplify right side
    34,398x = 504,338,400
  5. Step 5: Solve for x
    x = 504,338,400/34,398
  6. Step 6: Final answer
    x = 14,661.85

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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.