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Finding the Fourth Proportional to 6,438.82, 9,658.05 and 2,056.54

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Solution

The fourth proportional to 6,438.82, 9,658.05 and 2,056.54 is: 3,084.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.82 : 9,658.05 = 2,056.54 : x
  2. Step 2: Convert to fraction form
    6,438.82/9,658.05 = 2,056.54/x
  3. Step 3: Cross multiply
    6,438.82x = 9,658.05 × 2,056.54
  4. Step 4: Simplify right side
    6,438.82x = 19,862,134.29
  5. Step 5: Solve for x
    x = 19,862,134.29/6,438.82
  6. Step 6: Final answer
    x = 3,084.75

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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.