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Finding the Fourth Proportional to 9,871.77, 13,619.41 and 6,337.04

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Solution

The fourth proportional to 9,871.77, 13,619.41 and 6,337.04 is: 8,742.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871.77 : 13,619.41 = 6,337.04 : x
  2. Step 2: Convert to fraction form
    9,871.77/13,619.41 = 6,337.04/x
  3. Step 3: Cross multiply
    9,871.77x = 13,619.41 × 6,337.04
  4. Step 4: Simplify right side
    9,871.77x = 86,306,662.01
  5. Step 5: Solve for x
    x = 86,306,662.01/9,871.77
  6. Step 6: Final answer
    x = 8,742.77

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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.