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Finding the Fourth Proportional to 6,312.69, 9,469.04 and 3,409.45

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Solution

The fourth proportional to 6,312.69, 9,469.04 and 3,409.45 is: 5,114.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,312.69 : 9,469.04 = 3,409.45 : x
  2. Step 2: Convert to fraction form
    6,312.69/9,469.04 = 3,409.45/x
  3. Step 3: Cross multiply
    6,312.69x = 9,469.04 × 3,409.45
  4. Step 4: Simplify right side
    6,312.69x = 32,284,218.43
  5. Step 5: Solve for x
    x = 32,284,218.43/6,312.69
  6. Step 6: Final answer
    x = 5,114.18

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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.