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Finding the Fourth Proportional to 9,903.38, 13,664.52 and 5,871.48

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Solution

The fourth proportional to 9,903.38, 13,664.52 and 5,871.48 is: 8,101.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,903.38 : 13,664.52 = 5,871.48 : x
  2. Step 2: Convert to fraction form
    9,903.38/13,664.52 = 5,871.48/x
  3. Step 3: Cross multiply
    9,903.38x = 13,664.52 × 5,871.48
  4. Step 4: Simplify right side
    9,903.38x = 80,230,955.89
  5. Step 5: Solve for x
    x = 80,230,955.89/9,903.38
  6. Step 6: Final answer
    x = 8,101.37

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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.