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Finding the Fourth Proportional to 6,322.23, 8,723.64 and 3,803.73

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Solution

The fourth proportional to 6,322.23, 8,723.64 and 3,803.73 is: 5,248.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322.23 : 8,723.64 = 3,803.73 : x
  2. Step 2: Convert to fraction form
    6,322.23/8,723.64 = 3,803.73/x
  3. Step 3: Cross multiply
    6,322.23x = 8,723.64 × 3,803.73
  4. Step 4: Simplify right side
    6,322.23x = 33,182,371.18
  5. Step 5: Solve for x
    x = 33,182,371.18/6,322.23
  6. Step 6: Final answer
    x = 5,248.52

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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.