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Finding the Fourth Proportional to 9,793.50, 14,677.28 and 4,588.44

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Solution

The fourth proportional to 9,793.50, 14,677.28 and 4,588.44 is: 6,876.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.50 : 14,677.28 = 4,588.44 : x
  2. Step 2: Convert to fraction form
    9,793.50/14,677.28 = 4,588.44/x
  3. Step 3: Cross multiply
    9,793.50x = 14,677.28 × 4,588.44
  4. Step 4: Simplify right side
    9,793.50x = 67,345,818.64
  5. Step 5: Solve for x
    x = 67,345,818.64/9,793.50
  6. Step 6: Final answer
    x = 6,876.58

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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.