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Finding the Fourth Proportional to 6,356.31, 9,530.71 and 2,606.97

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Solution

The fourth proportional to 6,356.31, 9,530.71 and 2,606.97 is: 3,908.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.31 : 9,530.71 = 2,606.97 : x
  2. Step 2: Convert to fraction form
    6,356.31/9,530.71 = 2,606.97/x
  3. Step 3: Cross multiply
    6,356.31x = 9,530.71 × 2,606.97
  4. Step 4: Simplify right side
    6,356.31x = 24,846,289.04
  5. Step 5: Solve for x
    x = 24,846,289.04/6,356.31
  6. Step 6: Final answer
    x = 3,908.92

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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.