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Finding the Fourth Proportional to 9,596.13, 13,216.19 and 8,269.35

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Solution

The fourth proportional to 9,596.13, 13,216.19 and 8,269.35 is: 11,388.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.13 : 13,216.19 = 8,269.35 : x
  2. Step 2: Convert to fraction form
    9,596.13/13,216.19 = 8,269.35/x
  3. Step 3: Cross multiply
    9,596.13x = 13,216.19 × 8,269.35
  4. Step 4: Simplify right side
    9,596.13x = 109,289,259.43
  5. Step 5: Solve for x
    x = 109,289,259.43/9,596.13
  6. Step 6: Final answer
    x = 11,388.89

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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.