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Finding the Fourth Proportional to 9,461.88, 14,193.64 and 2,441.83

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Solution

The fourth proportional to 9,461.88, 14,193.64 and 2,441.83 is: 3,662.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461.88 : 14,193.64 = 2,441.83 : x
  2. Step 2: Convert to fraction form
    9,461.88/14,193.64 = 2,441.83/x
  3. Step 3: Cross multiply
    9,461.88x = 14,193.64 × 2,441.83
  4. Step 4: Simplify right side
    9,461.88x = 34,658,455.96
  5. Step 5: Solve for x
    x = 34,658,455.96/9,461.88
  6. Step 6: Final answer
    x = 3,662.96

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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.