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Finding the Fourth Proportional to 9,698.36, 13,379.51 and 6,111.14

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Solution

The fourth proportional to 9,698.36, 13,379.51 and 6,111.14 is: 8,430.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.36 : 13,379.51 = 6,111.14 : x
  2. Step 2: Convert to fraction form
    9,698.36/13,379.51 = 6,111.14/x
  3. Step 3: Cross multiply
    9,698.36x = 13,379.51 × 6,111.14
  4. Step 4: Simplify right side
    9,698.36x = 81,764,007.12
  5. Step 5: Solve for x
    x = 81,764,007.12/9,698.36
  6. Step 6: Final answer
    x = 8,430.71

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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.