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Finding the Fourth Proportional to 9,871.74, 13,623.37 and 5,395.79

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Solution

The fourth proportional to 9,871.74, 13,623.37 and 5,395.79 is: 7,446.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871.74 : 13,623.37 = 5,395.79 : x
  2. Step 2: Convert to fraction form
    9,871.74/13,623.37 = 5,395.79/x
  3. Step 3: Cross multiply
    9,871.74x = 13,623.37 × 5,395.79
  4. Step 4: Simplify right side
    9,871.74x = 73,508,864.18
  5. Step 5: Solve for x
    x = 73,508,864.18/9,871.74
  6. Step 6: Final answer
    x = 7,446.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.