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Finding the Fourth Proportional to 7,062.31, 9,745.50 and 3,918.25

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Solution

The fourth proportional to 7,062.31, 9,745.50 and 3,918.25 is: 5,406.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,062.31 : 9,745.50 = 3,918.25 : x
  2. Step 2: Convert to fraction form
    7,062.31/9,745.50 = 3,918.25/x
  3. Step 3: Cross multiply
    7,062.31x = 9,745.50 × 3,918.25
  4. Step 4: Simplify right side
    7,062.31x = 38,185,305.38
  5. Step 5: Solve for x
    x = 38,185,305.38/7,062.31
  6. Step 6: Final answer
    x = 5,406.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.