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Finding the Fourth Proportional to 9,775.46, 14,660.40 and 2,755.02

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Solution

The fourth proportional to 9,775.46, 14,660.40 and 2,755.02 is: 4,131.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.46 : 14,660.40 = 2,755.02 : x
  2. Step 2: Convert to fraction form
    9,775.46/14,660.40 = 2,755.02/x
  3. Step 3: Cross multiply
    9,775.46x = 14,660.40 × 2,755.02
  4. Step 4: Simplify right side
    9,775.46x = 40,389,695.21
  5. Step 5: Solve for x
    x = 40,389,695.21/9,775.46
  6. Step 6: Final answer
    x = 4,131.74

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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.