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Finding the Fourth Proportional to 10,491.68, 14,413.72 and 9,387.24

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Solution

The fourth proportional to 10,491.68, 14,413.72 and 9,387.24 is: 12,896.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.68 : 14,413.72 = 9,387.24 : x
  2. Step 2: Convert to fraction form
    10,491.68/14,413.72 = 9,387.24/x
  3. Step 3: Cross multiply
    10,491.68x = 14,413.72 × 9,387.24
  4. Step 4: Simplify right side
    10,491.68x = 135,305,048.93
  5. Step 5: Solve for x
    x = 135,305,048.93/10,491.68
  6. Step 6: Final answer
    x = 12,896.41

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.