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Finding the Fourth Proportional to 7,946.44, 10,965.60 and 4,409.44

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Solution

The fourth proportional to 7,946.44, 10,965.60 and 4,409.44 is: 6,084.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,946.44 : 10,965.60 = 4,409.44 : x
  2. Step 2: Convert to fraction form
    7,946.44/10,965.60 = 4,409.44/x
  3. Step 3: Cross multiply
    7,946.44x = 10,965.60 × 4,409.44
  4. Step 4: Simplify right side
    7,946.44x = 48,352,155.26
  5. Step 5: Solve for x
    x = 48,352,155.26/7,946.44
  6. Step 6: Final answer
    x = 6,084.76

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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.