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Finding the Fourth Proportional to 9,253.92, 13,881.51 and 3,410.94

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Solution

The fourth proportional to 9,253.92, 13,881.51 and 3,410.94 is: 5,116.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,253.92 : 13,881.51 = 3,410.94 : x
  2. Step 2: Convert to fraction form
    9,253.92/13,881.51 = 3,410.94/x
  3. Step 3: Cross multiply
    9,253.92x = 13,881.51 × 3,410.94
  4. Step 4: Simplify right side
    9,253.92x = 47,348,997.72
  5. Step 5: Solve for x
    x = 47,348,997.72/9,253.92
  6. Step 6: Final answer
    x = 5,116.64

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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.