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Finding the Fourth Proportional to 6,381.31, 9,567.81 and 2,221

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Solution

The fourth proportional to 6,381.31, 9,567.81 and 2,221 is: 3,330.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.31 : 9,567.81 = 2,221 : x
  2. Step 2: Convert to fraction form
    6,381.31/9,567.81 = 2,221/x
  3. Step 3: Cross multiply
    6,381.31x = 9,567.81 × 2,221
  4. Step 4: Simplify right side
    6,381.31x = 21,250,106.01
  5. Step 5: Solve for x
    x = 21,250,106.01/6,381.31
  6. Step 6: Final answer
    x = 3,330.05

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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.