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Finding the Fourth Proportional to 9,416.93, 14,131.17 and 3,793.57

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Solution

The fourth proportional to 9,416.93, 14,131.17 and 3,793.57 is: 5,692.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.93 : 14,131.17 = 3,793.57 : x
  2. Step 2: Convert to fraction form
    9,416.93/14,131.17 = 3,793.57/x
  3. Step 3: Cross multiply
    9,416.93x = 14,131.17 × 3,793.57
  4. Step 4: Simplify right side
    9,416.93x = 53,607,492.95
  5. Step 5: Solve for x
    x = 53,607,492.95/9,416.93
  6. Step 6: Final answer
    x = 5,692.67

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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.