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Finding the Fourth Proportional to 6,919.20, 10,378.80 and 6,384.60

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Solution

The fourth proportional to 6,919.20, 10,378.80 and 6,384.60 is: 9,576.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,919.20 : 10,378.80 = 6,384.60 : x
  2. Step 2: Convert to fraction form
    6,919.20/10,378.80 = 6,384.60/x
  3. Step 3: Cross multiply
    6,919.20x = 10,378.80 × 6,384.60
  4. Step 4: Simplify right side
    6,919.20x = 66,264,486.48
  5. Step 5: Solve for x
    x = 66,264,486.48/6,919.20
  6. Step 6: Final answer
    x = 9,576.90

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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.