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Finding the Fourth Proportional to 10,635.60, 15,934.20 and 9,406.80

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Solution

The fourth proportional to 10,635.60, 15,934.20 and 9,406.80 is: 14,093.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,635.60 : 15,934.20 = 9,406.80 : x
  2. Step 2: Convert to fraction form
    10,635.60/15,934.20 = 9,406.80/x
  3. Step 3: Cross multiply
    10,635.60x = 15,934.20 × 9,406.80
  4. Step 4: Simplify right side
    10,635.60x = 149,889,832.56
  5. Step 5: Solve for x
    x = 149,889,832.56/10,635.60
  6. Step 6: Final answer
    x = 14,093.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.