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Finding the Fourth Proportional to 6,264.26, 9,396.84 and 1,882.05

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Solution

The fourth proportional to 6,264.26, 9,396.84 and 1,882.05 is: 2,823.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,264.26 : 9,396.84 = 1,882.05 : x
  2. Step 2: Convert to fraction form
    6,264.26/9,396.84 = 1,882.05/x
  3. Step 3: Cross multiply
    6,264.26x = 9,396.84 × 1,882.05
  4. Step 4: Simplify right side
    6,264.26x = 17,685,322.72
  5. Step 5: Solve for x
    x = 17,685,322.72/6,264.26
  6. Step 6: Final answer
    x = 2,823.21

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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.