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Finding the Fourth Proportional to 6,699.60, 9,245.32 and 4,046.40

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Solution

The fourth proportional to 6,699.60, 9,245.32 and 4,046.40 is: 5,583.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,699.60 : 9,245.32 = 4,046.40 : x
  2. Step 2: Convert to fraction form
    6,699.60/9,245.32 = 4,046.40/x
  3. Step 3: Cross multiply
    6,699.60x = 9,245.32 × 4,046.40
  4. Step 4: Simplify right side
    6,699.60x = 37,410,262.85
  5. Step 5: Solve for x
    x = 37,410,262.85/6,699.60
  6. Step 6: Final answer
    x = 5,583.95

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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.