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Finding the Fourth Proportional to 9,871.39, 14,806.47 and 3,297.02

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Solution

The fourth proportional to 9,871.39, 14,806.47 and 3,297.02 is: 4,945.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871.39 : 14,806.47 = 3,297.02 : x
  2. Step 2: Convert to fraction form
    9,871.39/14,806.47 = 3,297.02/x
  3. Step 3: Cross multiply
    9,871.39x = 14,806.47 × 3,297.02
  4. Step 4: Simplify right side
    9,871.39x = 48,817,227.72
  5. Step 5: Solve for x
    x = 48,817,227.72/9,871.39
  6. Step 6: Final answer
    x = 4,945.32

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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.