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Finding the Fourth Proportional to 9,092.76, 13,643.24 and 4,096.37

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Solution

The fourth proportional to 9,092.76, 13,643.24 and 4,096.37 is: 6,146.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,092.76 : 13,643.24 = 4,096.37 : x
  2. Step 2: Convert to fraction form
    9,092.76/13,643.24 = 4,096.37/x
  3. Step 3: Cross multiply
    9,092.76x = 13,643.24 × 4,096.37
  4. Step 4: Simplify right side
    9,092.76x = 55,887,772.67
  5. Step 5: Solve for x
    x = 55,887,772.67/9,092.76
  6. Step 6: Final answer
    x = 6,146.41

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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.