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Finding the Fourth Proportional to 6,335.72, 9,507.18 and 3,413.96

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Solution

The fourth proportional to 6,335.72, 9,507.18 and 3,413.96 is: 5,122.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335.72 : 9,507.18 = 3,413.96 : x
  2. Step 2: Convert to fraction form
    6,335.72/9,507.18 = 3,413.96/x
  3. Step 3: Cross multiply
    6,335.72x = 9,507.18 × 3,413.96
  4. Step 4: Simplify right side
    6,335.72x = 32,457,132.23
  5. Step 5: Solve for x
    x = 32,457,132.23/6,335.72
  6. Step 6: Final answer
    x = 5,122.88

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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.