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Finding the Fourth Proportional to 6,096.63, 8,413.51 and 3,444.43

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Solution

The fourth proportional to 6,096.63, 8,413.51 and 3,444.43 is: 4,753.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.63 : 8,413.51 = 3,444.43 : x
  2. Step 2: Convert to fraction form
    6,096.63/8,413.51 = 3,444.43/x
  3. Step 3: Cross multiply
    6,096.63x = 8,413.51 × 3,444.43
  4. Step 4: Simplify right side
    6,096.63x = 28,979,746.25
  5. Step 5: Solve for x
    x = 28,979,746.25/6,096.63
  6. Step 6: Final answer
    x = 4,753.40

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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.