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Finding the Fourth Proportional to 10,622.60, 15,914.70 and 9,393.80

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Solution

The fourth proportional to 10,622.60, 15,914.70 and 9,393.80 is: 14,073.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,622.60 : 15,914.70 = 9,393.80 : x
  2. Step 2: Convert to fraction form
    10,622.60/15,914.70 = 9,393.80/x
  3. Step 3: Cross multiply
    10,622.60x = 15,914.70 × 9,393.80
  4. Step 4: Simplify right side
    10,622.60x = 149,499,508.86
  5. Step 5: Solve for x
    x = 149,499,508.86/10,622.60
  6. Step 6: Final answer
    x = 14,073.72

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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.