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Finding the Fourth Proportional to 9,850.76, 14,772.58 and 3,275.49

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Solution

The fourth proportional to 9,850.76, 14,772.58 and 3,275.49 is: 4,912.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.76 : 14,772.58 = 3,275.49 : x
  2. Step 2: Convert to fraction form
    9,850.76/14,772.58 = 3,275.49/x
  3. Step 3: Cross multiply
    9,850.76x = 14,772.58 × 3,275.49
  4. Step 4: Simplify right side
    9,850.76x = 48,387,402.18
  5. Step 5: Solve for x
    x = 48,387,402.18/9,850.76
  6. Step 6: Final answer
    x = 4,912.05

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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.