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Finding the Fourth Proportional to 7,062.76, 9,745.93 and 4,229.60

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Solution

The fourth proportional to 7,062.76, 9,745.93 and 4,229.60 is: 5,836.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,062.76 : 9,745.93 = 4,229.60 : x
  2. Step 2: Convert to fraction form
    7,062.76/9,745.93 = 4,229.60/x
  3. Step 3: Cross multiply
    7,062.76x = 9,745.93 × 4,229.60
  4. Step 4: Simplify right side
    7,062.76x = 41,221,399.32
  5. Step 5: Solve for x
    x = 41,221,399.32/7,062.76
  6. Step 6: Final answer
    x = 5,836.45

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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.