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Finding the Fourth Proportional to 6,321, 9,485.75 and 3,790.16

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Solution

The fourth proportional to 6,321, 9,485.75 and 3,790.16 is: 5,687.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,321 : 9,485.75 = 3,790.16 : x
  2. Step 2: Convert to fraction form
    6,321/9,485.75 = 3,790.16/x
  3. Step 3: Cross multiply
    6,321x = 9,485.75 × 3,790.16
  4. Step 4: Simplify right side
    6,321x = 35,952,472.27
  5. Step 5: Solve for x
    x = 35,952,472.27/6,321
  6. Step 6: Final answer
    x = 5,687.78

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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.