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Finding the Fourth Proportional to 9,562.86, 13,199.76 and 8,819.28

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Solution

The fourth proportional to 9,562.86, 13,199.76 and 8,819.28 is: 12,173.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,562.86 : 13,199.76 = 8,819.28 : x
  2. Step 2: Convert to fraction form
    9,562.86/13,199.76 = 8,819.28/x
  3. Step 3: Cross multiply
    9,562.86x = 13,199.76 × 8,819.28
  4. Step 4: Simplify right side
    9,562.86x = 116,412,379.37
  5. Step 5: Solve for x
    x = 116,412,379.37/9,562.86
  6. Step 6: Final answer
    x = 12,173.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.