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Finding the Fourth Proportional to 6,280.83, 9,413.28 and 6,117.30

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Solution

The fourth proportional to 6,280.83, 9,413.28 and 6,117.30 is: 9,168.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,280.83 : 9,413.28 = 6,117.30 : x
  2. Step 2: Convert to fraction form
    6,280.83/9,413.28 = 6,117.30/x
  3. Step 3: Cross multiply
    6,280.83x = 9,413.28 × 6,117.30
  4. Step 4: Simplify right side
    6,280.83x = 57,583,857.74
  5. Step 5: Solve for x
    x = 57,583,857.74/6,280.83
  6. Step 6: Final answer
    x = 9,168.19

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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.