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Finding the Fourth Proportional to 9,387.50, 14,083.37 and 3,840.11

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Solution

The fourth proportional to 9,387.50, 14,083.37 and 3,840.11 is: 5,761.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,387.50 : 14,083.37 = 3,840.11 : x
  2. Step 2: Convert to fraction form
    9,387.50/14,083.37 = 3,840.11/x
  3. Step 3: Cross multiply
    9,387.50x = 14,083.37 × 3,840.11
  4. Step 4: Simplify right side
    9,387.50x = 54,081,667.57
  5. Step 5: Solve for x
    x = 54,081,667.57/9,387.50
  6. Step 6: Final answer
    x = 5,761.03

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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.