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Finding the Fourth Proportional to 8,201.64, 11,317.68 and 6,437.46

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Solution

The fourth proportional to 8,201.64, 11,317.68 and 6,437.46 is: 8,883.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.64 : 11,317.68 = 6,437.46 : x
  2. Step 2: Convert to fraction form
    8,201.64/11,317.68 = 6,437.46/x
  3. Step 3: Cross multiply
    8,201.64x = 11,317.68 × 6,437.46
  4. Step 4: Simplify right side
    8,201.64x = 72,857,112.29
  5. Step 5: Solve for x
    x = 72,857,112.29/8,201.64
  6. Step 6: Final answer
    x = 8,883.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.