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Finding the Fourth Proportional to 6,276.60, 9,418.68 and 4,629.60

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Solution

The fourth proportional to 6,276.60, 9,418.68 and 4,629.60 is: 6,947.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,276.60 : 9,418.68 = 4,629.60 : x
  2. Step 2: Convert to fraction form
    6,276.60/9,418.68 = 4,629.60/x
  3. Step 3: Cross multiply
    6,276.60x = 9,418.68 × 4,629.60
  4. Step 4: Simplify right side
    6,276.60x = 43,604,720.93
  5. Step 5: Solve for x
    x = 43,604,720.93/6,276.60
  6. Step 6: Final answer
    x = 6,947.19

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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.