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Finding the Fourth Proportional to 6,104.90, 9,146.55 and 5,413.70

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Solution

The fourth proportional to 6,104.90, 9,146.55 and 5,413.70 is: 8,110.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,104.90 : 9,146.55 = 5,413.70 : x
  2. Step 2: Convert to fraction form
    6,104.90/9,146.55 = 5,413.70/x
  3. Step 3: Cross multiply
    6,104.90x = 9,146.55 × 5,413.70
  4. Step 4: Simplify right side
    6,104.90x = 49,516,677.74
  5. Step 5: Solve for x
    x = 49,516,677.74/6,104.90
  6. Step 6: Final answer
    x = 8,110.97

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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.