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Finding the Fourth Proportional to 9,834.54, 14,753.97 and 2,908.50

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Solution

The fourth proportional to 9,834.54, 14,753.97 and 2,908.50 is: 4,363.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,834.54 : 14,753.97 = 2,908.50 : x
  2. Step 2: Convert to fraction form
    9,834.54/14,753.97 = 2,908.50/x
  3. Step 3: Cross multiply
    9,834.54x = 14,753.97 × 2,908.50
  4. Step 4: Simplify right side
    9,834.54x = 42,911,921.75
  5. Step 5: Solve for x
    x = 42,911,921.75/9,834.54
  6. Step 6: Final answer
    x = 4,363.39

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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.