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Finding the Fourth Proportional to 11,941.64, 17,917.50 and 6,393.50

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Solution

The fourth proportional to 11,941.64, 17,917.50 and 6,393.50 is: 9,592.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,941.64 : 17,917.50 = 6,393.50 : x
  2. Step 2: Convert to fraction form
    11,941.64/17,917.50 = 6,393.50/x
  3. Step 3: Cross multiply
    11,941.64x = 17,917.50 × 6,393.50
  4. Step 4: Simplify right side
    11,941.64x = 114,555,536.25
  5. Step 5: Solve for x
    x = 114,555,536.25/11,941.64
  6. Step 6: Final answer
    x = 9,592.95

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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.