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Finding the Fourth Proportional to 9,112.93, 13,665.53 and 2,871.27

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Solution

The fourth proportional to 9,112.93, 13,665.53 and 2,871.27 is: 4,305.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,112.93 : 13,665.53 = 2,871.27 : x
  2. Step 2: Convert to fraction form
    9,112.93/13,665.53 = 2,871.27/x
  3. Step 3: Cross multiply
    9,112.93x = 13,665.53 × 2,871.27
  4. Step 4: Simplify right side
    9,112.93x = 39,237,433.50
  5. Step 5: Solve for x
    x = 39,237,433.50/9,112.93
  6. Step 6: Final answer
    x = 4,305.69

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Why These Related Problems?

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