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Finding the Fourth Proportional to 6,396.30, 9,595.40 and 3,278.07

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Solution

The fourth proportional to 6,396.30, 9,595.40 and 3,278.07 is: 4,917.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,396.30 : 9,595.40 = 3,278.07 : x
  2. Step 2: Convert to fraction form
    6,396.30/9,595.40 = 3,278.07/x
  3. Step 3: Cross multiply
    6,396.30x = 9,595.40 × 3,278.07
  4. Step 4: Simplify right side
    6,396.30x = 31,454,376.49
  5. Step 5: Solve for x
    x = 31,454,376.49/6,396.30
  6. Step 6: Final answer
    x = 4,917.59

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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.