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Finding the Fourth Proportional to 6,280.79, 9,430.98 and 5,413.05

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Solution

The fourth proportional to 6,280.79, 9,430.98 and 5,413.05 is: 8,128.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,280.79 : 9,430.98 = 5,413.05 : x
  2. Step 2: Convert to fraction form
    6,280.79/9,430.98 = 5,413.05/x
  3. Step 3: Cross multiply
    6,280.79x = 9,430.98 × 5,413.05
  4. Step 4: Simplify right side
    6,280.79x = 51,050,402.96
  5. Step 5: Solve for x
    x = 51,050,402.96/6,280.79
  6. Step 6: Final answer
    x = 8,128.02

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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.