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Finding the Fourth Proportional to 9,794.39, 13,520.12 and 6,609.56

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Solution

The fourth proportional to 9,794.39, 13,520.12 and 6,609.56 is: 9,123.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.39 : 13,520.12 = 6,609.56 : x
  2. Step 2: Convert to fraction form
    9,794.39/13,520.12 = 6,609.56/x
  3. Step 3: Cross multiply
    9,794.39x = 13,520.12 × 6,609.56
  4. Step 4: Simplify right side
    9,794.39x = 89,362,045.10
  5. Step 5: Solve for x
    x = 89,362,045.10/9,794.39
  6. Step 6: Final answer
    x = 9,123.80

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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.