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Finding the Fourth Proportional to 9,413.26, 14,167.17 and 7,085.32

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Solution

The fourth proportional to 9,413.26, 14,167.17 and 7,085.32 is: 10,663.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,413.26 : 14,167.17 = 7,085.32 : x
  2. Step 2: Convert to fraction form
    9,413.26/14,167.17 = 7,085.32/x
  3. Step 3: Cross multiply
    9,413.26x = 14,167.17 × 7,085.32
  4. Step 4: Simplify right side
    9,413.26x = 100,378,932.94
  5. Step 5: Solve for x
    x = 100,378,932.94/9,413.26
  6. Step 6: Final answer
    x = 10,663.57

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.