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Finding the Fourth Proportional to 7,946.40, 10,974.06 and 6,606.84

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Solution

The fourth proportional to 7,946.40, 10,974.06 and 6,606.84 is: 9,124.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,946.40 : 10,974.06 = 6,606.84 : x
  2. Step 2: Convert to fraction form
    7,946.40/10,974.06 = 6,606.84/x
  3. Step 3: Cross multiply
    7,946.40x = 10,974.06 × 6,606.84
  4. Step 4: Simplify right side
    7,946.40x = 72,503,858.57
  5. Step 5: Solve for x
    x = 72,503,858.57/7,946.40
  6. Step 6: Final answer
    x = 9,124.11

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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.