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Finding the Fourth Proportional to 6,844.24, 9,445.03 and 3,700.42

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Solution

The fourth proportional to 6,844.24, 9,445.03 and 3,700.42 is: 5,106.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,844.24 : 9,445.03 = 3,700.42 : x
  2. Step 2: Convert to fraction form
    6,844.24/9,445.03 = 3,700.42/x
  3. Step 3: Cross multiply
    6,844.24x = 9,445.03 × 3,700.42
  4. Step 4: Simplify right side
    6,844.24x = 34,950,577.91
  5. Step 5: Solve for x
    x = 34,950,577.91/6,844.24
  6. Step 6: Final answer
    x = 5,106.57

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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.