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Finding the Fourth Proportional to 6,200.96, 8,564.74 and 4,519.67

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Solution

The fourth proportional to 6,200.96, 8,564.74 and 4,519.67 is: 6,242.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,200.96 : 8,564.74 = 4,519.67 : x
  2. Step 2: Convert to fraction form
    6,200.96/8,564.74 = 4,519.67/x
  3. Step 3: Cross multiply
    6,200.96x = 8,564.74 × 4,519.67
  4. Step 4: Simplify right side
    6,200.96x = 38,709,744.31
  5. Step 5: Solve for x
    x = 38,709,744.31/6,200.96
  6. Step 6: Final answer
    x = 6,242.55

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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.