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Finding the Fourth Proportional to 9,540.99, 14,311.50 and 2,967.18

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Solution

The fourth proportional to 9,540.99, 14,311.50 and 2,967.18 is: 4,450.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,540.99 : 14,311.50 = 2,967.18 : x
  2. Step 2: Convert to fraction form
    9,540.99/14,311.50 = 2,967.18/x
  3. Step 3: Cross multiply
    9,540.99x = 14,311.50 × 2,967.18
  4. Step 4: Simplify right side
    9,540.99x = 42,464,796.57
  5. Step 5: Solve for x
    x = 42,464,796.57/9,540.99
  6. Step 6: Final answer
    x = 4,450.77

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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.