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Finding the Fourth Proportional to 9,682.04, 13,356.28 and 6,326.82

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Solution

The fourth proportional to 9,682.04, 13,356.28 and 6,326.82 is: 8,727.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.04 : 13,356.28 = 6,326.82 : x
  2. Step 2: Convert to fraction form
    9,682.04/13,356.28 = 6,326.82/x
  3. Step 3: Cross multiply
    9,682.04x = 13,356.28 × 6,326.82
  4. Step 4: Simplify right side
    9,682.04x = 84,502,787.34
  5. Step 5: Solve for x
    x = 84,502,787.34/9,682.04
  6. Step 6: Final answer
    x = 8,727.79

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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.