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Finding the Fourth Proportional to 9,246.84, 13,872.42 and 6,326.52

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Solution

The fourth proportional to 9,246.84, 13,872.42 and 6,326.52 is: 9,491.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,246.84 : 13,872.42 = 6,326.52 : x
  2. Step 2: Convert to fraction form
    9,246.84/13,872.42 = 6,326.52/x
  3. Step 3: Cross multiply
    9,246.84x = 13,872.42 × 6,326.52
  4. Step 4: Simplify right side
    9,246.84x = 87,764,142.58
  5. Step 5: Solve for x
    x = 87,764,142.58/9,246.84
  6. Step 6: Final answer
    x = 9,491.26

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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.