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Finding the Fourth Proportional to 6,448.85, 9,671.72 and 4,105.34

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Solution

The fourth proportional to 6,448.85, 9,671.72 and 4,105.34 is: 6,157.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448.85 : 9,671.72 = 4,105.34 : x
  2. Step 2: Convert to fraction form
    6,448.85/9,671.72 = 4,105.34/x
  3. Step 3: Cross multiply
    6,448.85x = 9,671.72 × 4,105.34
  4. Step 4: Simplify right side
    6,448.85x = 39,705,630.10
  5. Step 5: Solve for x
    x = 39,705,630.10/6,448.85
  6. Step 6: Final answer
    x = 6,157.01

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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.