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Finding the Fourth Proportional to 9,531.75, 14,297.49 and 5,784.42

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Solution

The fourth proportional to 9,531.75, 14,297.49 and 5,784.42 is: 8,676.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,531.75 : 14,297.49 = 5,784.42 : x
  2. Step 2: Convert to fraction form
    9,531.75/14,297.49 = 5,784.42/x
  3. Step 3: Cross multiply
    9,531.75x = 14,297.49 × 5,784.42
  4. Step 4: Simplify right side
    9,531.75x = 82,702,687.11
  5. Step 5: Solve for x
    x = 82,702,687.11/9,531.75
  6. Step 6: Final answer
    x = 8,676.55

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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.