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Finding the Fourth Proportional to 9,633.74, 14,427.82 and 8,212.19

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Solution

The fourth proportional to 9,633.74, 14,427.82 and 8,212.19 is: 12,298.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.74 : 14,427.82 = 8,212.19 : x
  2. Step 2: Convert to fraction form
    9,633.74/14,427.82 = 8,212.19/x
  3. Step 3: Cross multiply
    9,633.74x = 14,427.82 × 8,212.19
  4. Step 4: Simplify right side
    9,633.74x = 118,483,937.25
  5. Step 5: Solve for x
    x = 118,483,937.25/9,633.74
  6. Step 6: Final answer
    x = 12,298.86

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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.