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Finding the Fourth Proportional to 6,485.36, 9,718.91 and 3,707.87

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Solution

The fourth proportional to 6,485.36, 9,718.91 and 3,707.87 is: 5,556.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485.36 : 9,718.91 = 3,707.87 : x
  2. Step 2: Convert to fraction form
    6,485.36/9,718.91 = 3,707.87/x
  3. Step 3: Cross multiply
    6,485.36x = 9,718.91 × 3,707.87
  4. Step 4: Simplify right side
    6,485.36x = 36,036,451.94
  5. Step 5: Solve for x
    x = 36,036,451.94/6,485.36
  6. Step 6: Final answer
    x = 5,556.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.