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Finding the Fourth Proportional to 6,442.41, 8,890.95 and 3,609.63

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Solution

The fourth proportional to 6,442.41, 8,890.95 and 3,609.63 is: 4,981.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.41 : 8,890.95 = 3,609.63 : x
  2. Step 2: Convert to fraction form
    6,442.41/8,890.95 = 3,609.63/x
  3. Step 3: Cross multiply
    6,442.41x = 8,890.95 × 3,609.63
  4. Step 4: Simplify right side
    6,442.41x = 32,093,039.85
  5. Step 5: Solve for x
    x = 32,093,039.85/6,442.41
  6. Step 6: Final answer
    x = 4,981.53

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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.