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Finding the Fourth Proportional to 13,413.94, 18,504.86 and 9,437.24

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Solution

The fourth proportional to 13,413.94, 18,504.86 and 9,437.24 is: 13,018.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,413.94 : 18,504.86 = 9,437.24 : x
  2. Step 2: Convert to fraction form
    13,413.94/18,504.86 = 9,437.24/x
  3. Step 3: Cross multiply
    13,413.94x = 18,504.86 × 9,437.24
  4. Step 4: Simplify right side
    13,413.94x = 174,634,804.06
  5. Step 5: Solve for x
    x = 174,634,804.06/13,413.94
  6. Step 6: Final answer
    x = 13,018.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.