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Finding the Fourth Proportional to 10,413.66, 14,370.90 and 6,636.03

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Solution

The fourth proportional to 10,413.66, 14,370.90 and 6,636.03 is: 9,157.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,413.66 : 14,370.90 = 6,636.03 : x
  2. Step 2: Convert to fraction form
    10,413.66/14,370.90 = 6,636.03/x
  3. Step 3: Cross multiply
    10,413.66x = 14,370.90 × 6,636.03
  4. Step 4: Simplify right side
    10,413.66x = 95,365,723.53
  5. Step 5: Solve for x
    x = 95,365,723.53/10,413.66
  6. Step 6: Final answer
    x = 9,157.75

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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.