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Finding the Fourth Proportional to 6,376.20, 9,564.46 and 3,088.68

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Solution

The fourth proportional to 6,376.20, 9,564.46 and 3,088.68 is: 4,633.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,376.20 : 9,564.46 = 3,088.68 : x
  2. Step 2: Convert to fraction form
    6,376.20/9,564.46 = 3,088.68/x
  3. Step 3: Cross multiply
    6,376.20x = 9,564.46 × 3,088.68
  4. Step 4: Simplify right side
    6,376.20x = 29,541,556.31
  5. Step 5: Solve for x
    x = 29,541,556.31/6,376.20
  6. Step 6: Final answer
    x = 4,633.10

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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.