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Finding the Fourth Proportional to 6,384.60, 9,577.36 and 1,704.58

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Solution

The fourth proportional to 6,384.60, 9,577.36 and 1,704.58 is: 2,556.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.60 : 9,577.36 = 1,704.58 : x
  2. Step 2: Convert to fraction form
    6,384.60/9,577.36 = 1,704.58/x
  3. Step 3: Cross multiply
    6,384.60x = 9,577.36 × 1,704.58
  4. Step 4: Simplify right side
    6,384.60x = 16,325,376.31
  5. Step 5: Solve for x
    x = 16,325,376.31/6,384.60
  6. Step 6: Final answer
    x = 2,556.99

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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.