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Finding the Fourth Proportional to 9,847.88, 14,766.88 and 3,271.76

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Solution

The fourth proportional to 9,847.88, 14,766.88 and 3,271.76 is: 4,906.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.88 : 14,766.88 = 3,271.76 : x
  2. Step 2: Convert to fraction form
    9,847.88/14,766.88 = 3,271.76/x
  3. Step 3: Cross multiply
    9,847.88x = 14,766.88 × 3,271.76
  4. Step 4: Simplify right side
    9,847.88x = 48,313,687.31
  5. Step 5: Solve for x
    x = 48,313,687.31/9,847.88
  6. Step 6: Final answer
    x = 4,906.00

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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.