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Finding the Fourth Proportional to 9,266.92, 13,902.54 and 3,027.16

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Solution

The fourth proportional to 9,266.92, 13,902.54 and 3,027.16 is: 4,541.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,266.92 : 13,902.54 = 3,027.16 : x
  2. Step 2: Convert to fraction form
    9,266.92/13,902.54 = 3,027.16/x
  3. Step 3: Cross multiply
    9,266.92x = 13,902.54 × 3,027.16
  4. Step 4: Simplify right side
    9,266.92x = 42,085,212.99
  5. Step 5: Solve for x
    x = 42,085,212.99/9,266.92
  6. Step 6: Final answer
    x = 4,541.45

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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.