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Finding the Fourth Proportional to 9,226.56, 13,817.52 and 6,456

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Solution

The fourth proportional to 9,226.56, 13,817.52 and 6,456 is: 9,668.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,226.56 : 13,817.52 = 6,456 : x
  2. Step 2: Convert to fraction form
    9,226.56/13,817.52 = 6,456/x
  3. Step 3: Cross multiply
    9,226.56x = 13,817.52 × 6,456
  4. Step 4: Simplify right side
    9,226.56x = 89,205,909.12
  5. Step 5: Solve for x
    x = 89,205,909.12/9,226.56
  6. Step 6: Final answer
    x = 9,668.38

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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.