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Finding the Fourth Proportional to 6,264.49, 9,396.81 and 1,881.69

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Solution

The fourth proportional to 6,264.49, 9,396.81 and 1,881.69 is: 2,822.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,264.49 : 9,396.81 = 1,881.69 : x
  2. Step 2: Convert to fraction form
    6,264.49/9,396.81 = 1,881.69/x
  3. Step 3: Cross multiply
    6,264.49x = 9,396.81 × 1,881.69
  4. Step 4: Simplify right side
    6,264.49x = 17,681,883.41
  5. Step 5: Solve for x
    x = 17,681,883.41/6,264.49
  6. Step 6: Final answer
    x = 2,822.56

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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.