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Finding the Fourth Proportional to 7,131.72, 9,838.50 and 4,614.65

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Solution

The fourth proportional to 7,131.72, 9,838.50 and 4,614.65 is: 6,366.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,131.72 : 9,838.50 = 4,614.65 : x
  2. Step 2: Convert to fraction form
    7,131.72/9,838.50 = 4,614.65/x
  3. Step 3: Cross multiply
    7,131.72x = 9,838.50 × 4,614.65
  4. Step 4: Simplify right side
    7,131.72x = 45,401,234.03
  5. Step 5: Solve for x
    x = 45,401,234.03/7,131.72
  6. Step 6: Final answer
    x = 6,366.10

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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.