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Finding the Fourth Proportional to 6,523.74, 9,002.21 and 3,690.99

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Solution

The fourth proportional to 6,523.74, 9,002.21 and 3,690.99 is: 5,093.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.74 : 9,002.21 = 3,690.99 : x
  2. Step 2: Convert to fraction form
    6,523.74/9,002.21 = 3,690.99/x
  3. Step 3: Cross multiply
    6,523.74x = 9,002.21 × 3,690.99
  4. Step 4: Simplify right side
    6,523.74x = 33,227,048.63
  5. Step 5: Solve for x
    x = 33,227,048.63/6,523.74
  6. Step 6: Final answer
    x = 5,093.25

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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.