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Finding the Fourth Proportional to 9,169.98, 13,757.28 and 2,596.22

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Solution

The fourth proportional to 9,169.98, 13,757.28 and 2,596.22 is: 3,894.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,169.98 : 13,757.28 = 2,596.22 : x
  2. Step 2: Convert to fraction form
    9,169.98/13,757.28 = 2,596.22/x
  3. Step 3: Cross multiply
    9,169.98x = 13,757.28 × 2,596.22
  4. Step 4: Simplify right side
    9,169.98x = 35,716,925.48
  5. Step 5: Solve for x
    x = 35,716,925.48/9,169.98
  6. Step 6: Final answer
    x = 3,894.99

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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.