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Finding the Fourth Proportional to 9,348.94, 14,009.22 and 6,871.96

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Solution

The fourth proportional to 9,348.94, 14,009.22 and 6,871.96 is: 10,297.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,348.94 : 14,009.22 = 6,871.96 : x
  2. Step 2: Convert to fraction form
    9,348.94/14,009.22 = 6,871.96/x
  3. Step 3: Cross multiply
    9,348.94x = 14,009.22 × 6,871.96
  4. Step 4: Simplify right side
    9,348.94x = 96,270,799.47
  5. Step 5: Solve for x
    x = 96,270,799.47/9,348.94
  6. Step 6: Final answer
    x = 10,297.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.