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Finding the Fourth Proportional to 6,396.84, 8,829 and 4,299.75

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Solution

The fourth proportional to 6,396.84, 8,829 and 4,299.75 is: 5,934.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,396.84 : 8,829 = 4,299.75 : x
  2. Step 2: Convert to fraction form
    6,396.84/8,829 = 4,299.75/x
  3. Step 3: Cross multiply
    6,396.84x = 8,829 × 4,299.75
  4. Step 4: Simplify right side
    6,396.84x = 37,962,492.75
  5. Step 5: Solve for x
    x = 37,962,492.75/6,396.84
  6. Step 6: Final answer
    x = 5,934.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.