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Finding the Fourth Proportional to 9,633.72, 13,303.98 and 8,228.28

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Solution

The fourth proportional to 9,633.72, 13,303.98 and 8,228.28 is: 11,363.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.72 : 13,303.98 = 8,228.28 : x
  2. Step 2: Convert to fraction form
    9,633.72/13,303.98 = 8,228.28/x
  3. Step 3: Cross multiply
    9,633.72x = 13,303.98 × 8,228.28
  4. Step 4: Simplify right side
    9,633.72x = 109,468,872.55
  5. Step 5: Solve for x
    x = 109,468,872.55/9,633.72
  6. Step 6: Final answer
    x = 11,363.09

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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.