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Finding the Fourth Proportional to 6,437.04, 9,649.89 and 4,241.13

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Solution

The fourth proportional to 6,437.04, 9,649.89 and 4,241.13 is: 6,357.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,437.04 : 9,649.89 = 4,241.13 : x
  2. Step 2: Convert to fraction form
    6,437.04/9,649.89 = 4,241.13/x
  3. Step 3: Cross multiply
    6,437.04x = 9,649.89 × 4,241.13
  4. Step 4: Simplify right side
    6,437.04x = 40,926,437.98
  5. Step 5: Solve for x
    x = 40,926,437.98/6,437.04
  6. Step 6: Final answer
    x = 6,357.96

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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.