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Finding the Fourth Proportional to 9,302.54, 13,979.34 and 4,923.09

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Solution

The fourth proportional to 9,302.54, 13,979.34 and 4,923.09 is: 7,398.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.54 : 13,979.34 = 4,923.09 : x
  2. Step 2: Convert to fraction form
    9,302.54/13,979.34 = 4,923.09/x
  3. Step 3: Cross multiply
    9,302.54x = 13,979.34 × 4,923.09
  4. Step 4: Simplify right side
    9,302.54x = 68,821,548.96
  5. Step 5: Solve for x
    x = 68,821,548.96/9,302.54
  6. Step 6: Final answer
    x = 7,398.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.