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Finding the Fourth Proportional to 6,881.33, 9,499.14 and 4,646.23

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Solution

The fourth proportional to 6,881.33, 9,499.14 and 4,646.23 is: 6,413.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,881.33 : 9,499.14 = 4,646.23 : x
  2. Step 2: Convert to fraction form
    6,881.33/9,499.14 = 4,646.23/x
  3. Step 3: Cross multiply
    6,881.33x = 9,499.14 × 4,646.23
  4. Step 4: Simplify right side
    6,881.33x = 44,135,189.24
  5. Step 5: Solve for x
    x = 44,135,189.24/6,881.33
  6. Step 6: Final answer
    x = 6,413.76

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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.