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Finding the Fourth Proportional to 8,143.88, 12,206.10 and 6,413.72

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Solution

The fourth proportional to 8,143.88, 12,206.10 and 6,413.72 is: 9,612.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143.88 : 12,206.10 = 6,413.72 : x
  2. Step 2: Convert to fraction form
    8,143.88/12,206.10 = 6,413.72/x
  3. Step 3: Cross multiply
    8,143.88x = 12,206.10 × 6,413.72
  4. Step 4: Simplify right side
    8,143.88x = 78,286,507.69
  5. Step 5: Solve for x
    x = 78,286,507.69/8,143.88
  6. Step 6: Final answer
    x = 9,612.93

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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.