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Finding the Fourth Proportional to 9,819.60, 14,666.96 and 8,436.96

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Solution

The fourth proportional to 9,819.60, 14,666.96 and 8,436.96 is: 12,601.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,819.60 : 14,666.96 = 8,436.96 : x
  2. Step 2: Convert to fraction form
    9,819.60/14,666.96 = 8,436.96/x
  3. Step 3: Cross multiply
    9,819.60x = 14,666.96 × 8,436.96
  4. Step 4: Simplify right side
    9,819.60x = 123,744,512.66
  5. Step 5: Solve for x
    x = 123,744,512.66/9,819.60
  6. Step 6: Final answer
    x = 12,601.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.