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Finding the Fourth Proportional to 6,096.71, 8,413.28 and 3,407.93

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Solution

The fourth proportional to 6,096.71, 8,413.28 and 3,407.93 is: 4,702.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.71 : 8,413.28 = 3,407.93 : x
  2. Step 2: Convert to fraction form
    6,096.71/8,413.28 = 3,407.93/x
  3. Step 3: Cross multiply
    6,096.71x = 8,413.28 × 3,407.93
  4. Step 4: Simplify right side
    6,096.71x = 28,671,899.05
  5. Step 5: Solve for x
    x = 28,671,899.05/6,096.71
  6. Step 6: Final answer
    x = 4,702.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.