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Finding the Fourth Proportional to 7,062.25, 9,745.91 and 3,918.46

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Solution

The fourth proportional to 7,062.25, 9,745.91 and 3,918.46 is: 5,407.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,062.25 : 9,745.91 = 3,918.46 : x
  2. Step 2: Convert to fraction form
    7,062.25/9,745.91 = 3,918.46/x
  3. Step 3: Cross multiply
    7,062.25x = 9,745.91 × 3,918.46
  4. Step 4: Simplify right side
    7,062.25x = 38,188,938.91
  5. Step 5: Solve for x
    x = 38,188,938.91/7,062.25
  6. Step 6: Final answer
    x = 5,407.47

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