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Finding the Fourth Proportional to 10,413.28, 15,641.42 and 9,964.16

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Solution

The fourth proportional to 10,413.28, 15,641.42 and 9,964.16 is: 14,966.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,413.28 : 15,641.42 = 9,964.16 : x
  2. Step 2: Convert to fraction form
    10,413.28/15,641.42 = 9,964.16/x
  3. Step 3: Cross multiply
    10,413.28x = 15,641.42 × 9,964.16
  4. Step 4: Simplify right side
    10,413.28x = 155,853,611.51
  5. Step 5: Solve for x
    x = 155,853,611.51/10,413.28
  6. Step 6: Final answer
    x = 14,966.81

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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.