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Finding the Fourth Proportional to 37,396.22, 56,094.46 and 9,316.24

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Solution

The fourth proportional to 37,396.22, 56,094.46 and 9,316.24 is: 13,974.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,396.22 : 56,094.46 = 9,316.24 : x
  2. Step 2: Convert to fraction form
    37,396.22/56,094.46 = 9,316.24/x
  3. Step 3: Cross multiply
    37,396.22x = 56,094.46 × 9,316.24
  4. Step 4: Simplify right side
    37,396.22x = 522,589,288.50
  5. Step 5: Solve for x
    x = 522,589,288.50/37,396.22
  6. Step 6: Final answer
    x = 13,974.39

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Why These Related Problems?

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