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Finding the Fourth Proportional to 6,412.89, 9,605.84 and 5,435.57

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Solution

The fourth proportional to 6,412.89, 9,605.84 and 5,435.57 is: 8,141.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.89 : 9,605.84 = 5,435.57 : x
  2. Step 2: Convert to fraction form
    6,412.89/9,605.84 = 5,435.57/x
  3. Step 3: Cross multiply
    6,412.89x = 9,605.84 × 5,435.57
  4. Step 4: Simplify right side
    6,412.89x = 52,213,140.52
  5. Step 5: Solve for x
    x = 52,213,140.52/6,412.89
  6. Step 6: Final answer
    x = 8,141.90

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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.