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Finding the Fourth Proportional to 6,908.84, 9,538.16 and 4,555.09

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Solution

The fourth proportional to 6,908.84, 9,538.16 and 4,555.09 is: 6,288.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,908.84 : 9,538.16 = 4,555.09 : x
  2. Step 2: Convert to fraction form
    6,908.84/9,538.16 = 4,555.09/x
  3. Step 3: Cross multiply
    6,908.84x = 9,538.16 × 4,555.09
  4. Step 4: Simplify right side
    6,908.84x = 43,447,112.73
  5. Step 5: Solve for x
    x = 43,447,112.73/6,908.84
  6. Step 6: Final answer
    x = 6,288.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.