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Finding the Fourth Proportional to 6,441.48, 9,655.74 and 2,541.96

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Solution

The fourth proportional to 6,441.48, 9,655.74 and 2,541.96 is: 3,810.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.48 : 9,655.74 = 2,541.96 : x
  2. Step 2: Convert to fraction form
    6,441.48/9,655.74 = 2,541.96/x
  3. Step 3: Cross multiply
    6,441.48x = 9,655.74 × 2,541.96
  4. Step 4: Simplify right side
    6,441.48x = 24,544,504.85
  5. Step 5: Solve for x
    x = 24,544,504.85/6,441.48
  6. Step 6: Final answer
    x = 3,810.38

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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.