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Finding the Fourth Proportional to 9,620.85, 14,421.36 and 6,113.43

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Solution

The fourth proportional to 9,620.85, 14,421.36 and 6,113.43 is: 9,163.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,620.85 : 14,421.36 = 6,113.43 : x
  2. Step 2: Convert to fraction form
    9,620.85/14,421.36 = 6,113.43/x
  3. Step 3: Cross multiply
    9,620.85x = 14,421.36 × 6,113.43
  4. Step 4: Simplify right side
    9,620.85x = 88,163,974.86
  5. Step 5: Solve for x
    x = 88,163,974.86/9,620.85
  6. Step 6: Final answer
    x = 9,163.84

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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.