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Finding the Fourth Proportional to 9,098.16, 13,647.16 and 2,942.16

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Solution

The fourth proportional to 9,098.16, 13,647.16 and 2,942.16 is: 4,413.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098.16 : 13,647.16 = 2,942.16 : x
  2. Step 2: Convert to fraction form
    9,098.16/13,647.16 = 2,942.16/x
  3. Step 3: Cross multiply
    9,098.16x = 13,647.16 × 2,942.16
  4. Step 4: Simplify right side
    9,098.16x = 40,152,128.27
  5. Step 5: Solve for x
    x = 40,152,128.27/9,098.16
  6. Step 6: Final answer
    x = 4,413.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.