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Finding the Fourth Proportional to 7,234.50, 9,983.70 and 4,090.62

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Solution

The fourth proportional to 7,234.50, 9,983.70 and 4,090.62 is: 5,645.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.50 : 9,983.70 = 4,090.62 : x
  2. Step 2: Convert to fraction form
    7,234.50/9,983.70 = 4,090.62/x
  3. Step 3: Cross multiply
    7,234.50x = 9,983.70 × 4,090.62
  4. Step 4: Simplify right side
    7,234.50x = 40,839,522.89
  5. Step 5: Solve for x
    x = 40,839,522.89/7,234.50
  6. Step 6: Final answer
    x = 5,645.11

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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.