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Finding the Fourth Proportional to 6,447.69, 8,895.75 and 3,614.67

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Solution

The fourth proportional to 6,447.69, 8,895.75 and 3,614.67 is: 4,987.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.69 : 8,895.75 = 3,614.67 : x
  2. Step 2: Convert to fraction form
    6,447.69/8,895.75 = 3,614.67/x
  3. Step 3: Cross multiply
    6,447.69x = 8,895.75 × 3,614.67
  4. Step 4: Simplify right side
    6,447.69x = 32,155,200.65
  5. Step 5: Solve for x
    x = 32,155,200.65/6,447.69
  6. Step 6: Final answer
    x = 4,987.09

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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.