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Finding the Fourth Proportional to 6,096.61, 8,413.13 and 3,407.76

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Solution

The fourth proportional to 6,096.61, 8,413.13 and 3,407.76 is: 4,702.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.61 : 8,413.13 = 3,407.76 : x
  2. Step 2: Convert to fraction form
    6,096.61/8,413.13 = 3,407.76/x
  3. Step 3: Cross multiply
    6,096.61x = 8,413.13 × 3,407.76
  4. Step 4: Simplify right side
    6,096.61x = 28,669,927.89
  5. Step 5: Solve for x
    x = 28,669,927.89/6,096.61
  6. Step 6: Final answer
    x = 4,702.60

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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.