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Finding the Fourth Proportional to 6,374.27, 9,555.73 and 2,477.76

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Solution

The fourth proportional to 6,374.27, 9,555.73 and 2,477.76 is: 3,714.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,374.27 : 9,555.73 = 2,477.76 : x
  2. Step 2: Convert to fraction form
    6,374.27/9,555.73 = 2,477.76/x
  3. Step 3: Cross multiply
    6,374.27x = 9,555.73 × 2,477.76
  4. Step 4: Simplify right side
    6,374.27x = 23,676,799.37
  5. Step 5: Solve for x
    x = 23,676,799.37/6,374.27
  6. Step 6: Final answer
    x = 3,714.44

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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.