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Finding the Fourth Proportional to 6,393.25, 9,589.88 and 1,776.25

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Solution

The fourth proportional to 6,393.25, 9,589.88 and 1,776.25 is: 2,664.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,393.25 : 9,589.88 = 1,776.25 : x
  2. Step 2: Convert to fraction form
    6,393.25/9,589.88 = 1,776.25/x
  3. Step 3: Cross multiply
    6,393.25x = 9,589.88 × 1,776.25
  4. Step 4: Simplify right side
    6,393.25x = 17,034,024.35
  5. Step 5: Solve for x
    x = 17,034,024.35/6,393.25
  6. Step 6: Final answer
    x = 2,664.38

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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.