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Finding the Fourth Proportional to 9,774.27, 14,650.39 and 4,847.44

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Solution

The fourth proportional to 9,774.27, 14,650.39 and 4,847.44 is: 7,265.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.27 : 14,650.39 = 4,847.44 : x
  2. Step 2: Convert to fraction form
    9,774.27/14,650.39 = 4,847.44/x
  3. Step 3: Cross multiply
    9,774.27x = 14,650.39 × 4,847.44
  4. Step 4: Simplify right side
    9,774.27x = 71,016,886.50
  5. Step 5: Solve for x
    x = 71,016,886.50/9,774.27
  6. Step 6: Final answer
    x = 7,265.70

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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.