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Finding the Fourth Proportional to 9,546.40, 14,303.94 and 9,181.90

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Solution

The fourth proportional to 9,546.40, 14,303.94 and 9,181.90 is: 13,757.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,546.40 : 14,303.94 = 9,181.90 : x
  2. Step 2: Convert to fraction form
    9,546.40/14,303.94 = 9,181.90/x
  3. Step 3: Cross multiply
    9,546.40x = 14,303.94 × 9,181.90
  4. Step 4: Simplify right side
    9,546.40x = 131,337,346.69
  5. Step 5: Solve for x
    x = 131,337,346.69/9,546.40
  6. Step 6: Final answer
    x = 13,757.79

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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.