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Finding the Fourth Proportional to 10,369.36, 15,474.41 and 9,262.08

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Solution

The fourth proportional to 10,369.36, 15,474.41 and 9,262.08 is: 13,821.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,369.36 : 15,474.41 = 9,262.08 : x
  2. Step 2: Convert to fraction form
    10,369.36/15,474.41 = 9,262.08/x
  3. Step 3: Cross multiply
    10,369.36x = 15,474.41 × 9,262.08
  4. Step 4: Simplify right side
    10,369.36x = 143,325,223.37
  5. Step 5: Solve for x
    x = 143,325,223.37/10,369.36
  6. Step 6: Final answer
    x = 13,821.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.