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Finding the Fourth Proportional to 9,539.44, 14,302.74 and 3,689.20

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Solution

The fourth proportional to 9,539.44, 14,302.74 and 3,689.20 is: 5,531.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,539.44 : 14,302.74 = 3,689.20 : x
  2. Step 2: Convert to fraction form
    9,539.44/14,302.74 = 3,689.20/x
  3. Step 3: Cross multiply
    9,539.44x = 14,302.74 × 3,689.20
  4. Step 4: Simplify right side
    9,539.44x = 52,765,668.41
  5. Step 5: Solve for x
    x = 52,765,668.41/9,539.44
  6. Step 6: Final answer
    x = 5,531.32

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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.