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Finding the Fourth Proportional to 9,524.69, 14,289.30 and 3,974.95

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Solution

The fourth proportional to 9,524.69, 14,289.30 and 3,974.95 is: 5,963.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,524.69 : 14,289.30 = 3,974.95 : x
  2. Step 2: Convert to fraction form
    9,524.69/14,289.30 = 3,974.95/x
  3. Step 3: Cross multiply
    9,524.69x = 14,289.30 × 3,974.95
  4. Step 4: Simplify right side
    9,524.69x = 56,799,253.04
  5. Step 5: Solve for x
    x = 56,799,253.04/9,524.69
  6. Step 6: Final answer
    x = 5,963.37

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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.