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Finding the Fourth Proportional to 6,428.24, 9,641.64 and 4,361.52

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Solution

The fourth proportional to 6,428.24, 9,641.64 and 4,361.52 is: 6,541.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428.24 : 9,641.64 = 4,361.52 : x
  2. Step 2: Convert to fraction form
    6,428.24/9,641.64 = 4,361.52/x
  3. Step 3: Cross multiply
    6,428.24x = 9,641.64 × 4,361.52
  4. Step 4: Simplify right side
    6,428.24x = 42,052,205.69
  5. Step 5: Solve for x
    x = 42,052,205.69/6,428.24
  6. Step 6: Final answer
    x = 6,541.79

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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.