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Finding the Fourth Proportional to 6,334.89, 9,502.35 and 3,736

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Solution

The fourth proportional to 6,334.89, 9,502.35 and 3,736 is: 5,604.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334.89 : 9,502.35 = 3,736 : x
  2. Step 2: Convert to fraction form
    6,334.89/9,502.35 = 3,736/x
  3. Step 3: Cross multiply
    6,334.89x = 9,502.35 × 3,736
  4. Step 4: Simplify right side
    6,334.89x = 35,500,779.60
  5. Step 5: Solve for x
    x = 35,500,779.60/6,334.89
  6. Step 6: Final answer
    x = 5,604.01

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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.