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Finding the Fourth Proportional to 7,091.40, 9,786 and 4,107.36

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Solution

The fourth proportional to 7,091.40, 9,786 and 4,107.36 is: 5,668.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,091.40 : 9,786 = 4,107.36 : x
  2. Step 2: Convert to fraction form
    7,091.40/9,786 = 4,107.36/x
  3. Step 3: Cross multiply
    7,091.40x = 9,786 × 4,107.36
  4. Step 4: Simplify right side
    7,091.40x = 40,194,624.96
  5. Step 5: Solve for x
    x = 40,194,624.96/7,091.40
  6. Step 6: Final answer
    x = 5,668.08

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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.