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Finding the Fourth Proportional to 6,412.60, 8,850.36 and 4,643.56

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Solution

The fourth proportional to 6,412.60, 8,850.36 and 4,643.56 is: 6,408.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.60 : 8,850.36 = 4,643.56 : x
  2. Step 2: Convert to fraction form
    6,412.60/8,850.36 = 4,643.56/x
  3. Step 3: Cross multiply
    6,412.60x = 8,850.36 × 4,643.56
  4. Step 4: Simplify right side
    6,412.60x = 41,097,177.68
  5. Step 5: Solve for x
    x = 41,097,177.68/6,412.60
  6. Step 6: Final answer
    x = 6,408.82

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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.