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Finding the Fourth Proportional to 9,302.42, 13,942.29 and 5,142.26

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Solution

The fourth proportional to 9,302.42, 13,942.29 and 5,142.26 is: 7,707.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.42 : 13,942.29 = 5,142.26 : x
  2. Step 2: Convert to fraction form
    9,302.42/13,942.29 = 5,142.26/x
  3. Step 3: Cross multiply
    9,302.42x = 13,942.29 × 5,142.26
  4. Step 4: Simplify right side
    9,302.42x = 71,694,880.18
  5. Step 5: Solve for x
    x = 71,694,880.18/9,302.42
  6. Step 6: Final answer
    x = 7,707.12

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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.