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Finding the Fourth Proportional to 6,412.35, 8,845.05 and 3,892.01

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Solution

The fourth proportional to 6,412.35, 8,845.05 and 3,892.01 is: 5,368.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.35 : 8,845.05 = 3,892.01 : x
  2. Step 2: Convert to fraction form
    6,412.35/8,845.05 = 3,892.01/x
  3. Step 3: Cross multiply
    6,412.35x = 8,845.05 × 3,892.01
  4. Step 4: Simplify right side
    6,412.35x = 34,424,977.75
  5. Step 5: Solve for x
    x = 34,424,977.75/6,412.35
  6. Step 6: Final answer
    x = 5,368.54

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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.