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Finding the Fourth Proportional to 9,962.97, 14,937.51 and 4,413.29

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Solution

The fourth proportional to 9,962.97, 14,937.51 and 4,413.29 is: 6,616.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,962.97 : 14,937.51 = 4,413.29 : x
  2. Step 2: Convert to fraction form
    9,962.97/14,937.51 = 4,413.29/x
  3. Step 3: Cross multiply
    9,962.97x = 14,937.51 × 4,413.29
  4. Step 4: Simplify right side
    9,962.97x = 65,923,488.82
  5. Step 5: Solve for x
    x = 65,923,488.82/9,962.97
  6. Step 6: Final answer
    x = 6,616.85

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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.