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Finding the Fourth Proportional to 6,438.87, 9,659.97 and 2,056.38

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Solution

The fourth proportional to 6,438.87, 9,659.97 and 2,056.38 is: 3,085.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.87 : 9,659.97 = 2,056.38 : x
  2. Step 2: Convert to fraction form
    6,438.87/9,659.97 = 2,056.38/x
  3. Step 3: Cross multiply
    6,438.87x = 9,659.97 × 2,056.38
  4. Step 4: Simplify right side
    6,438.87x = 19,864,569.11
  5. Step 5: Solve for x
    x = 19,864,569.11/6,438.87
  6. Step 6: Final answer
    x = 3,085.10

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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.