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Finding the Fourth Proportional to 6,822.20, 9,413.80 and 4,303.36

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Solution

The fourth proportional to 6,822.20, 9,413.80 and 4,303.36 is: 5,938.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822.20 : 9,413.80 = 4,303.36 : x
  2. Step 2: Convert to fraction form
    6,822.20/9,413.80 = 4,303.36/x
  3. Step 3: Cross multiply
    6,822.20x = 9,413.80 × 4,303.36
  4. Step 4: Simplify right side
    6,822.20x = 40,510,971.38
  5. Step 5: Solve for x
    x = 40,510,971.38/6,822.20
  6. Step 6: Final answer
    x = 5,938.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.