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Finding the Fourth Proportional to 7,946.22, 10,965.42 and 4,409.40

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Solution

The fourth proportional to 7,946.22, 10,965.42 and 4,409.40 is: 6,084.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,946.22 : 10,965.42 = 4,409.40 : x
  2. Step 2: Convert to fraction form
    7,946.22/10,965.42 = 4,409.40/x
  3. Step 3: Cross multiply
    7,946.22x = 10,965.42 × 4,409.40
  4. Step 4: Simplify right side
    7,946.22x = 48,350,922.95
  5. Step 5: Solve for x
    x = 48,350,922.95/7,946.22
  6. Step 6: Final answer
    x = 6,084.77

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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.