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Finding the Fourth Proportional to 6,385.85, 9,558.26 and 3,416.89

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Solution

The fourth proportional to 6,385.85, 9,558.26 and 3,416.89 is: 5,114.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,385.85 : 9,558.26 = 3,416.89 : x
  2. Step 2: Convert to fraction form
    6,385.85/9,558.26 = 3,416.89/x
  3. Step 3: Cross multiply
    6,385.85x = 9,558.26 × 3,416.89
  4. Step 4: Simplify right side
    6,385.85x = 32,659,458.14
  5. Step 5: Solve for x
    x = 32,659,458.14/6,385.85
  6. Step 6: Final answer
    x = 5,114.35

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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.