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Finding the Fourth Proportional to 6,444.41, 9,655.25 and 5,644.85

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Solution

The fourth proportional to 6,444.41, 9,655.25 and 5,644.85 is: 8,457.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444.41 : 9,655.25 = 5,644.85 : x
  2. Step 2: Convert to fraction form
    6,444.41/9,655.25 = 5,644.85/x
  3. Step 3: Cross multiply
    6,444.41x = 9,655.25 × 5,644.85
  4. Step 4: Simplify right side
    6,444.41x = 54,502,361.46
  5. Step 5: Solve for x
    x = 54,502,361.46/6,444.41
  6. Step 6: Final answer
    x = 8,457.31

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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.