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Finding the Fourth Proportional to 9,617.31, 13,268.23 and 6,263

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Solution

The fourth proportional to 9,617.31, 13,268.23 and 6,263 is: 8,640.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,617.31 : 13,268.23 = 6,263 : x
  2. Step 2: Convert to fraction form
    9,617.31/13,268.23 = 6,263/x
  3. Step 3: Cross multiply
    9,617.31x = 13,268.23 × 6,263
  4. Step 4: Simplify right side
    9,617.31x = 83,098,924.49
  5. Step 5: Solve for x
    x = 83,098,924.49/9,617.31
  6. Step 6: Final answer
    x = 8,640.56

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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.