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Finding the Fourth Proportional to 37,116.75, 55,678.37 and 9,414.75

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Solution

The fourth proportional to 37,116.75, 55,678.37 and 9,414.75 is: 14,122.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,116.75 : 55,678.37 = 9,414.75 : x
  2. Step 2: Convert to fraction form
    37,116.75/55,678.37 = 9,414.75/x
  3. Step 3: Cross multiply
    37,116.75x = 55,678.37 × 9,414.75
  4. Step 4: Simplify right side
    37,116.75x = 524,197,933.96
  5. Step 5: Solve for x
    x = 524,197,933.96/37,116.75
  6. Step 6: Final answer
    x = 14,122.95

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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.