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Finding the Fourth Proportional to 9,617.49, 14,423.34 and 5,172.42

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Solution

The fourth proportional to 9,617.49, 14,423.34 and 5,172.42 is: 7,757.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,617.49 : 14,423.34 = 5,172.42 : x
  2. Step 2: Convert to fraction form
    9,617.49/14,423.34 = 5,172.42/x
  3. Step 3: Cross multiply
    9,617.49x = 14,423.34 × 5,172.42
  4. Step 4: Simplify right side
    9,617.49x = 74,603,572.28
  5. Step 5: Solve for x
    x = 74,603,572.28/9,617.49
  6. Step 6: Final answer
    x = 7,757.07

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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.