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Finding the Fourth Proportional to 6,814.80, 9,413.44 and 5,055.48

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Solution

The fourth proportional to 6,814.80, 9,413.44 and 5,055.48 is: 6,983.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.80 : 9,413.44 = 5,055.48 : x
  2. Step 2: Convert to fraction form
    6,814.80/9,413.44 = 5,055.48/x
  3. Step 3: Cross multiply
    6,814.80x = 9,413.44 × 5,055.48
  4. Step 4: Simplify right side
    6,814.80x = 47,589,457.65
  5. Step 5: Solve for x
    x = 47,589,457.65/6,814.80
  6. Step 6: Final answer
    x = 6,983.25

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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.