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Finding the Fourth Proportional to 9,487.89, 13,093.14 and 5,239.38

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Solution

The fourth proportional to 9,487.89, 13,093.14 and 5,239.38 is: 7,230.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,487.89 : 13,093.14 = 5,239.38 : x
  2. Step 2: Convert to fraction form
    9,487.89/13,093.14 = 5,239.38/x
  3. Step 3: Cross multiply
    9,487.89x = 13,093.14 × 5,239.38
  4. Step 4: Simplify right side
    9,487.89x = 68,599,935.85
  5. Step 5: Solve for x
    x = 68,599,935.85/9,487.89
  6. Step 6: Final answer
    x = 7,230.26

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1.5x scale

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.