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Finding the Fourth Proportional to 6,378.84, 9,553.68 and 5,737.32

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Solution

The fourth proportional to 6,378.84, 9,553.68 and 5,737.32 is: 8,592.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.84 : 9,553.68 = 5,737.32 : x
  2. Step 2: Convert to fraction form
    6,378.84/9,553.68 = 5,737.32/x
  3. Step 3: Cross multiply
    6,378.84x = 9,553.68 × 5,737.32
  4. Step 4: Simplify right side
    6,378.84x = 54,812,519.34
  5. Step 5: Solve for x
    x = 54,812,519.34/6,378.84
  6. Step 6: Final answer
    x = 8,592.87

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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.