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Finding the Fourth Proportional to 9,862.34, 14,793.60 and 3,288.50

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Solution

The fourth proportional to 9,862.34, 14,793.60 and 3,288.50 is: 4,932.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,862.34 : 14,793.60 = 3,288.50 : x
  2. Step 2: Convert to fraction form
    9,862.34/14,793.60 = 3,288.50/x
  3. Step 3: Cross multiply
    9,862.34x = 14,793.60 × 3,288.50
  4. Step 4: Simplify right side
    9,862.34x = 48,648,753.60
  5. Step 5: Solve for x
    x = 48,648,753.60/9,862.34
  6. Step 6: Final answer
    x = 4,932.78

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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.