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Finding the Fourth Proportional to 9,603, 13,252.14 and 5,187

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Solution

The fourth proportional to 9,603, 13,252.14 and 5,187 is: 7,158.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,603 : 13,252.14 = 5,187 : x
  2. Step 2: Convert to fraction form
    9,603/13,252.14 = 5,187/x
  3. Step 3: Cross multiply
    9,603x = 13,252.14 × 5,187
  4. Step 4: Simplify right side
    9,603x = 68,738,850.18
  5. Step 5: Solve for x
    x = 68,738,850.18/9,603
  6. Step 6: Final answer
    x = 7,158.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.