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Finding the Fourth Proportional to 6,438.69, 9,659.52 and 2,056.14

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Solution

The fourth proportional to 6,438.69, 9,659.52 and 2,056.14 is: 3,084.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.69 : 9,659.52 = 2,056.14 : x
  2. Step 2: Convert to fraction form
    6,438.69/9,659.52 = 2,056.14/x
  3. Step 3: Cross multiply
    6,438.69x = 9,659.52 × 2,056.14
  4. Step 4: Simplify right side
    6,438.69x = 19,861,325.45
  5. Step 5: Solve for x
    x = 19,861,325.45/6,438.69
  6. Step 6: Final answer
    x = 3,084.68

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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.