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Finding the Fourth Proportional to 9,413.44, 14,117.28 and 3,256

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Solution

The fourth proportional to 9,413.44, 14,117.28 and 3,256 is: 4,883.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,413.44 : 14,117.28 = 3,256 : x
  2. Step 2: Convert to fraction form
    9,413.44/14,117.28 = 3,256/x
  3. Step 3: Cross multiply
    9,413.44x = 14,117.28 × 3,256
  4. Step 4: Simplify right side
    9,413.44x = 45,965,863.68
  5. Step 5: Solve for x
    x = 45,965,863.68/9,413.44
  6. Step 6: Final answer
    x = 4,883.00

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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.