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Finding the Fourth Proportional to 9,250.92, 13,875 and 3,406.16

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Solution

The fourth proportional to 9,250.92, 13,875 and 3,406.16 is: 5,108.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,250.92 : 13,875 = 3,406.16 : x
  2. Step 2: Convert to fraction form
    9,250.92/13,875 = 3,406.16/x
  3. Step 3: Cross multiply
    9,250.92x = 13,875 × 3,406.16
  4. Step 4: Simplify right side
    9,250.92x = 47,260,470
  5. Step 5: Solve for x
    x = 47,260,470/9,250.92
  6. Step 6: Final answer
    x = 5,108.73

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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.