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Finding the Fourth Proportional to 9,892.76, 14,817 and 8,558.96

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Solution

The fourth proportional to 9,892.76, 14,817 and 8,558.96 is: 12,819.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.76 : 14,817 = 8,558.96 : x
  2. Step 2: Convert to fraction form
    9,892.76/14,817 = 8,558.96/x
  3. Step 3: Cross multiply
    9,892.76x = 14,817 × 8,558.96
  4. Step 4: Simplify right side
    9,892.76x = 126,818,110.32
  5. Step 5: Solve for x
    x = 126,818,110.32/9,892.76
  6. Step 6: Final answer
    x = 12,819.29

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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.