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Finding the Fourth Proportional to 9,393.01, 12,962.16 and 5,413.88

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Solution

The fourth proportional to 9,393.01, 12,962.16 and 5,413.88 is: 7,471.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,393.01 : 12,962.16 = 5,413.88 : x
  2. Step 2: Convert to fraction form
    9,393.01/12,962.16 = 5,413.88/x
  3. Step 3: Cross multiply
    9,393.01x = 12,962.16 × 5,413.88
  4. Step 4: Simplify right side
    9,393.01x = 70,175,611.19
  5. Step 5: Solve for x
    x = 70,175,611.19/9,393.01
  6. Step 6: Final answer
    x = 7,471.05

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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.