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Finding the Fourth Proportional to 9,806.14, 14,694.94 and 4,542.76

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Solution

The fourth proportional to 9,806.14, 14,694.94 and 4,542.76 is: 6,807.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.14 : 14,694.94 = 4,542.76 : x
  2. Step 2: Convert to fraction form
    9,806.14/14,694.94 = 4,542.76/x
  3. Step 3: Cross multiply
    9,806.14x = 14,694.94 × 4,542.76
  4. Step 4: Simplify right side
    9,806.14x = 66,755,585.63
  5. Step 5: Solve for x
    x = 66,755,585.63/9,806.14
  6. Step 6: Final answer
    x = 6,807.53

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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.