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Finding the Fourth Proportional to 37,755.07, 56,632.14 and 9,674.90

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Solution

The fourth proportional to 37,755.07, 56,632.14 and 9,674.90 is: 14,512.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,755.07 : 56,632.14 = 9,674.90 : x
  2. Step 2: Convert to fraction form
    37,755.07/56,632.14 = 9,674.90/x
  3. Step 3: Cross multiply
    37,755.07x = 56,632.14 × 9,674.90
  4. Step 4: Simplify right side
    37,755.07x = 547,910,291.29
  5. Step 5: Solve for x
    x = 547,910,291.29/37,755.07
  6. Step 6: Final answer
    x = 14,512.23

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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.