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Finding the Fourth Proportional to 9,013.70, 13,516.89 and 3,745.13

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Solution

The fourth proportional to 9,013.70, 13,516.89 and 3,745.13 is: 5,616.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,013.70 : 13,516.89 = 3,745.13 : x
  2. Step 2: Convert to fraction form
    9,013.70/13,516.89 = 3,745.13/x
  3. Step 3: Cross multiply
    9,013.70x = 13,516.89 × 3,745.13
  4. Step 4: Simplify right side
    9,013.70x = 50,622,442.66
  5. Step 5: Solve for x
    x = 50,622,442.66/9,013.70
  6. Step 6: Final answer
    x = 5,616.17

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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.