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Finding the Fourth Proportional to 9,137.51, 13,705.97 and 3,871.11

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Solution

The fourth proportional to 9,137.51, 13,705.97 and 3,871.11 is: 5,806.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.51 : 13,705.97 = 3,871.11 : x
  2. Step 2: Convert to fraction form
    9,137.51/13,705.97 = 3,871.11/x
  3. Step 3: Cross multiply
    9,137.51x = 13,705.97 × 3,871.11
  4. Step 4: Simplify right side
    9,137.51x = 53,057,298.17
  5. Step 5: Solve for x
    x = 53,057,298.17/9,137.51
  6. Step 6: Final answer
    x = 5,806.54

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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.