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Finding the Fourth Proportional to 9,871.10, 14,806.71 and 3,948.48

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Solution

The fourth proportional to 9,871.10, 14,806.71 and 3,948.48 is: 5,922.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871.10 : 14,806.71 = 3,948.48 : x
  2. Step 2: Convert to fraction form
    9,871.10/14,806.71 = 3,948.48/x
  3. Step 3: Cross multiply
    9,871.10x = 14,806.71 × 3,948.48
  4. Step 4: Simplify right side
    9,871.10x = 58,463,927.97
  5. Step 5: Solve for x
    x = 58,463,927.97/9,871.10
  6. Step 6: Final answer
    x = 5,922.74

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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.