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Finding the Fourth Proportional to 6,336.10, 9,509.62 and 5,597.98

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Solution

The fourth proportional to 6,336.10, 9,509.62 and 5,597.98 is: 8,401.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336.10 : 9,509.62 = 5,597.98 : x
  2. Step 2: Convert to fraction form
    6,336.10/9,509.62 = 5,597.98/x
  3. Step 3: Cross multiply
    6,336.10x = 9,509.62 × 5,597.98
  4. Step 4: Simplify right side
    6,336.10x = 53,234,662.57
  5. Step 5: Solve for x
    x = 53,234,662.57/6,336.10
  6. Step 6: Final answer
    x = 8,401.80

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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.