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Finding the Fourth Proportional to 6,629.60, 9,944.40 and 6,305.60

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Solution

The fourth proportional to 6,629.60, 9,944.40 and 6,305.60 is: 9,458.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,629.60 : 9,944.40 = 6,305.60 : x
  2. Step 2: Convert to fraction form
    6,629.60/9,944.40 = 6,305.60/x
  3. Step 3: Cross multiply
    6,629.60x = 9,944.40 × 6,305.60
  4. Step 4: Simplify right side
    6,629.60x = 62,705,408.64
  5. Step 5: Solve for x
    x = 62,705,408.64/6,629.60
  6. Step 6: Final answer
    x = 9,458.40

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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.