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Finding the Fourth Proportional to 10,446.74, 14,413.98 and 5,909.49

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Solution

The fourth proportional to 10,446.74, 14,413.98 and 5,909.49 is: 8,153.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446.74 : 14,413.98 = 5,909.49 : x
  2. Step 2: Convert to fraction form
    10,446.74/14,413.98 = 5,909.49/x
  3. Step 3: Cross multiply
    10,446.74x = 14,413.98 × 5,909.49
  4. Step 4: Simplify right side
    10,446.74x = 85,179,292.83
  5. Step 5: Solve for x
    x = 85,179,292.83/10,446.74
  6. Step 6: Final answer
    x = 8,153.67

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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.