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Finding the Fourth Proportional to 6,749.48, 9,323.34 and 6,120.71

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Solution

The fourth proportional to 6,749.48, 9,323.34 and 6,120.71 is: 8,454.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,749.48 : 9,323.34 = 6,120.71 : x
  2. Step 2: Convert to fraction form
    6,749.48/9,323.34 = 6,120.71/x
  3. Step 3: Cross multiply
    6,749.48x = 9,323.34 × 6,120.71
  4. Step 4: Simplify right side
    6,749.48x = 57,065,413.75
  5. Step 5: Solve for x
    x = 57,065,413.75/6,749.48
  6. Step 6: Final answer
    x = 8,454.79

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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.