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Finding the Fourth Proportional to 9,887.27, 14,808.22 and 6,413.99

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Solution

The fourth proportional to 9,887.27, 14,808.22 and 6,413.99 is: 9,606.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,887.27 : 14,808.22 = 6,413.99 : x
  2. Step 2: Convert to fraction form
    9,887.27/14,808.22 = 6,413.99/x
  3. Step 3: Cross multiply
    9,887.27x = 14,808.22 × 6,413.99
  4. Step 4: Simplify right side
    9,887.27x = 94,979,684.92
  5. Step 5: Solve for x
    x = 94,979,684.92/9,887.27
  6. Step 6: Final answer
    x = 9,606.26

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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.