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Finding the Fourth Proportional to 6,932.63, 9,568.01 and 4,413.94

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Solution

The fourth proportional to 6,932.63, 9,568.01 and 4,413.94 is: 6,091.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,932.63 : 9,568.01 = 4,413.94 : x
  2. Step 2: Convert to fraction form
    6,932.63/9,568.01 = 4,413.94/x
  3. Step 3: Cross multiply
    6,932.63x = 9,568.01 × 4,413.94
  4. Step 4: Simplify right side
    6,932.63x = 42,232,622.06
  5. Step 5: Solve for x
    x = 42,232,622.06/6,932.63
  6. Step 6: Final answer
    x = 6,091.86

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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.