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Finding the Fourth Proportional to 6,377.45, 9,549.77 and 3,599.96

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Solution

The fourth proportional to 6,377.45, 9,549.77 and 3,599.96 is: 5,390.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,377.45 : 9,549.77 = 3,599.96 : x
  2. Step 2: Convert to fraction form
    6,377.45/9,549.77 = 3,599.96/x
  3. Step 3: Cross multiply
    6,377.45x = 9,549.77 × 3,599.96
  4. Step 4: Simplify right side
    6,377.45x = 34,378,724.26
  5. Step 5: Solve for x
    x = 34,378,724.26/6,377.45
  6. Step 6: Final answer
    x = 5,390.67

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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.