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Finding the Fourth Proportional to 37,644.62, 56,466.32 and 9,181.89

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Solution

The fourth proportional to 37,644.62, 56,466.32 and 9,181.89 is: 13,772.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,644.62 : 56,466.32 = 9,181.89 : x
  2. Step 2: Convert to fraction form
    37,644.62/56,466.32 = 9,181.89/x
  3. Step 3: Cross multiply
    37,644.62x = 56,466.32 × 9,181.89
  4. Step 4: Simplify right side
    37,644.62x = 518,467,493.04
  5. Step 5: Solve for x
    x = 518,467,493.04/37,644.62
  6. Step 6: Final answer
    x = 13,772.69

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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.