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Finding the Fourth Proportional to 6,818.18, 9,413.75 and 5,222.00

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Solution

The fourth proportional to 6,818.18, 9,413.75 and 5,222.00 is: 7,209.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,818.18 : 9,413.75 = 5,222.00 : x
  2. Step 2: Convert to fraction form
    6,818.18/9,413.75 = 5,222.00/x
  3. Step 3: Cross multiply
    6,818.18x = 9,413.75 × 5,222.00
  4. Step 4: Simplify right side
    6,818.18x = 49,158,639.09
  5. Step 5: Solve for x
    x = 49,158,639.09/6,818.18
  6. Step 6: Final answer
    x = 7,209.94

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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.