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Finding the Fourth Proportional to 6,413.79, 9,622.13 and 2,254.09

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Solution

The fourth proportional to 6,413.79, 9,622.13 and 2,254.09 is: 3,381.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.79 : 9,622.13 = 2,254.09 : x
  2. Step 2: Convert to fraction form
    6,413.79/9,622.13 = 2,254.09/x
  3. Step 3: Cross multiply
    6,413.79x = 9,622.13 × 2,254.09
  4. Step 4: Simplify right side
    6,413.79x = 21,689,128.59
  5. Step 5: Solve for x
    x = 21,689,128.59/6,413.79
  6. Step 6: Final answer
    x = 3,381.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.