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Finding the Fourth Proportional to 9,932.65, 13,685.42 and 7,413.75

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Solution

The fourth proportional to 9,932.65, 13,685.42 and 7,413.75 is: 10,214.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,932.65 : 13,685.42 = 7,413.75 : x
  2. Step 2: Convert to fraction form
    9,932.65/13,685.42 = 7,413.75/x
  3. Step 3: Cross multiply
    9,932.65x = 13,685.42 × 7,413.75
  4. Step 4: Simplify right side
    9,932.65x = 101,460,301.06
  5. Step 5: Solve for x
    x = 101,460,301.06/9,932.65
  6. Step 6: Final answer
    x = 10,214.83

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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.