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Finding the Fourth Proportional to 9,531.44, 14,294.64 and 3,290.48

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Solution

The fourth proportional to 9,531.44, 14,294.64 and 3,290.48 is: 4,934.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,531.44 : 14,294.64 = 3,290.48 : x
  2. Step 2: Convert to fraction form
    9,531.44/14,294.64 = 3,290.48/x
  3. Step 3: Cross multiply
    9,531.44x = 14,294.64 × 3,290.48
  4. Step 4: Simplify right side
    9,531.44x = 47,036,227.03
  5. Step 5: Solve for x
    x = 47,036,227.03/9,531.44
  6. Step 6: Final answer
    x = 4,934.85

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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.