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Finding the Fourth Proportional to 9,871.31, 13,622.33 and 5,839.58

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Solution

The fourth proportional to 9,871.31, 13,622.33 and 5,839.58 is: 8,058.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871.31 : 13,622.33 = 5,839.58 : x
  2. Step 2: Convert to fraction form
    9,871.31/13,622.33 = 5,839.58/x
  3. Step 3: Cross multiply
    9,871.31x = 13,622.33 × 5,839.58
  4. Step 4: Simplify right side
    9,871.31x = 79,548,734.48
  5. Step 5: Solve for x
    x = 79,548,734.48/9,871.31
  6. Step 6: Final answer
    x = 8,058.58

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