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Finding the Fourth Proportional to 6,442.74, 8,895.32 and 4,023.79

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Solution

The fourth proportional to 6,442.74, 8,895.32 and 4,023.79 is: 5,555.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.74 : 8,895.32 = 4,023.79 : x
  2. Step 2: Convert to fraction form
    6,442.74/8,895.32 = 4,023.79/x
  3. Step 3: Cross multiply
    6,442.74x = 8,895.32 × 4,023.79
  4. Step 4: Simplify right side
    6,442.74x = 35,792,922.43
  5. Step 5: Solve for x
    x = 35,792,922.43/6,442.74
  6. Step 6: Final answer
    x = 5,555.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.