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Finding the Fourth Proportional to 9,534.94, 14,302.41 and 2,609.44

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Solution

The fourth proportional to 9,534.94, 14,302.41 and 2,609.44 is: 3,914.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,534.94 : 14,302.41 = 2,609.44 : x
  2. Step 2: Convert to fraction form
    9,534.94/14,302.41 = 2,609.44/x
  3. Step 3: Cross multiply
    9,534.94x = 14,302.41 × 2,609.44
  4. Step 4: Simplify right side
    9,534.94x = 37,321,235.21
  5. Step 5: Solve for x
    x = 37,321,235.21/9,534.94
  6. Step 6: Final answer
    x = 3,914.16

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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.