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Finding the Fourth Proportional to 6,393.12, 9,589.68 and 1,776.12

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Solution

The fourth proportional to 6,393.12, 9,589.68 and 1,776.12 is: 2,664.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,393.12 : 9,589.68 = 1,776.12 : x
  2. Step 2: Convert to fraction form
    6,393.12/9,589.68 = 1,776.12/x
  3. Step 3: Cross multiply
    6,393.12x = 9,589.68 × 1,776.12
  4. Step 4: Simplify right side
    6,393.12x = 17,032,422.44
  5. Step 5: Solve for x
    x = 17,032,422.44/6,393.12
  6. Step 6: Final answer
    x = 2,664.18

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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.