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Finding the Fourth Proportional to 37,662.32, 56,493.23 and 9,582.12

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Solution

The fourth proportional to 37,662.32, 56,493.23 and 9,582.12 is: 14,373.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,662.32 : 56,493.23 = 9,582.12 : x
  2. Step 2: Convert to fraction form
    37,662.32/56,493.23 = 9,582.12/x
  3. Step 3: Cross multiply
    37,662.32x = 56,493.23 × 9,582.12
  4. Step 4: Simplify right side
    37,662.32x = 541,324,861.14
  5. Step 5: Solve for x
    x = 541,324,861.14/37,662.32
  6. Step 6: Final answer
    x = 14,373.11

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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.