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Finding the Fourth Proportional to 7,237.82, 9,988.48 and 4,094

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Solution

The fourth proportional to 7,237.82, 9,988.48 and 4,094 is: 5,649.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,237.82 : 9,988.48 = 4,094 : x
  2. Step 2: Convert to fraction form
    7,237.82/9,988.48 = 4,094/x
  3. Step 3: Cross multiply
    7,237.82x = 9,988.48 × 4,094
  4. Step 4: Simplify right side
    7,237.82x = 40,892,837.12
  5. Step 5: Solve for x
    x = 40,892,837.12/7,237.82
  6. Step 6: Final answer
    x = 5,649.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.