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Finding the Fourth Proportional to 7,142.57, 9,853.43 and 4,625.49

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Solution

The fourth proportional to 7,142.57, 9,853.43 and 4,625.49 is: 6,381.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.57 : 9,853.43 = 4,625.49 : x
  2. Step 2: Convert to fraction form
    7,142.57/9,853.43 = 4,625.49/x
  3. Step 3: Cross multiply
    7,142.57x = 9,853.43 × 4,625.49
  4. Step 4: Simplify right side
    7,142.57x = 45,576,918.80
  5. Step 5: Solve for x
    x = 45,576,918.80/7,142.57
  6. Step 6: Final answer
    x = 6,381.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.