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Finding the Fourth Proportional to 6,947.09, 9,586.99 and 3,803.28

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Solution

The fourth proportional to 6,947.09, 9,586.99 and 3,803.28 is: 5,248.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,947.09 : 9,586.99 = 3,803.28 : x
  2. Step 2: Convert to fraction form
    6,947.09/9,586.99 = 3,803.28/x
  3. Step 3: Cross multiply
    6,947.09x = 9,586.99 × 3,803.28
  4. Step 4: Simplify right side
    6,947.09x = 36,462,007.33
  5. Step 5: Solve for x
    x = 36,462,007.33/6,947.09
  6. Step 6: Final answer
    x = 5,248.53

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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.