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Finding the Fourth Proportional to 9,343.71, 14,015.57 and 6,413.13

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Solution

The fourth proportional to 9,343.71, 14,015.57 and 6,413.13 is: 9,619.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,343.71 : 14,015.57 = 6,413.13 : x
  2. Step 2: Convert to fraction form
    9,343.71/14,015.57 = 6,413.13/x
  3. Step 3: Cross multiply
    9,343.71x = 14,015.57 × 6,413.13
  4. Step 4: Simplify right side
    9,343.71x = 89,883,640.37
  5. Step 5: Solve for x
    x = 89,883,640.37/9,343.71
  6. Step 6: Final answer
    x = 9,619.70

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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.