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Finding the Fourth Proportional to 6,319.13, 9,413.83 and 6,034.82

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Solution

The fourth proportional to 6,319.13, 9,413.83 and 6,034.82 is: 8,990.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,319.13 : 9,413.83 = 6,034.82 : x
  2. Step 2: Convert to fraction form
    6,319.13/9,413.83 = 6,034.82/x
  3. Step 3: Cross multiply
    6,319.13x = 9,413.83 × 6,034.82
  4. Step 4: Simplify right side
    6,319.13x = 56,810,722.49
  5. Step 5: Solve for x
    x = 56,810,722.49/6,319.13
  6. Step 6: Final answer
    x = 8,990.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.