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Finding the Fourth Proportional to 9,847.71, 14,774.00 and 3,273.95

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Solution

The fourth proportional to 9,847.71, 14,774.00 and 3,273.95 is: 4,911.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.71 : 14,774.00 = 3,273.95 : x
  2. Step 2: Convert to fraction form
    9,847.71/14,774.00 = 3,273.95/x
  3. Step 3: Cross multiply
    9,847.71x = 14,774.00 × 3,273.95
  4. Step 4: Simplify right side
    9,847.71x = 48,369,247.06
  5. Step 5: Solve for x
    x = 48,369,247.06/9,847.71
  6. Step 6: Final answer
    x = 4,911.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.