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Finding the Fourth Proportional to 6,963.68, 9,606.61 and 4,577.62

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Solution

The fourth proportional to 6,963.68, 9,606.61 and 4,577.62 is: 6,314.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,963.68 : 9,606.61 = 4,577.62 : x
  2. Step 2: Convert to fraction form
    6,963.68/9,606.61 = 4,577.62/x
  3. Step 3: Cross multiply
    6,963.68x = 9,606.61 × 4,577.62
  4. Step 4: Simplify right side
    6,963.68x = 43,975,391.77
  5. Step 5: Solve for x
    x = 43,975,391.77/6,963.68
  6. Step 6: Final answer
    x = 6,314.97

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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.