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Finding the Fourth Proportional to 6,298.26, 9,447.57 and 3,699.42

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Solution

The fourth proportional to 6,298.26, 9,447.57 and 3,699.42 is: 5,549.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.26 : 9,447.57 = 3,699.42 : x
  2. Step 2: Convert to fraction form
    6,298.26/9,447.57 = 3,699.42/x
  3. Step 3: Cross multiply
    6,298.26x = 9,447.57 × 3,699.42
  4. Step 4: Simplify right side
    6,298.26x = 34,950,529.41
  5. Step 5: Solve for x
    x = 34,950,529.41/6,298.26
  6. Step 6: Final answer
    x = 5,549.24

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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.