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Finding the Fourth Proportional to 9,540.84, 14,311.90 and 3,301.46

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Solution

The fourth proportional to 9,540.84, 14,311.90 and 3,301.46 is: 4,952.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,540.84 : 14,311.90 = 3,301.46 : x
  2. Step 2: Convert to fraction form
    9,540.84/14,311.90 = 3,301.46/x
  3. Step 3: Cross multiply
    9,540.84x = 14,311.90 × 3,301.46
  4. Step 4: Simplify right side
    9,540.84x = 47,250,165.37
  5. Step 5: Solve for x
    x = 47,250,165.37/9,540.84
  6. Step 6: Final answer
    x = 4,952.41

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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.