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Finding the Fourth Proportional to 9,935.40, 13,701.78 and 7,946.04

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Solution

The fourth proportional to 9,935.40, 13,701.78 and 7,946.04 is: 10,958.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,935.40 : 13,701.78 = 7,946.04 : x
  2. Step 2: Convert to fraction form
    9,935.40/13,701.78 = 7,946.04/x
  3. Step 3: Cross multiply
    9,935.40x = 13,701.78 × 7,946.04
  4. Step 4: Simplify right side
    9,935.40x = 108,874,891.95
  5. Step 5: Solve for x
    x = 108,874,891.95/9,935.40
  6. Step 6: Final answer
    x = 10,958.28

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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.