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Finding the Fourth Proportional to 6,398.46, 9,585.38 and 3,926.06

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Solution

The fourth proportional to 6,398.46, 9,585.38 and 3,926.06 is: 5,881.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398.46 : 9,585.38 = 3,926.06 : x
  2. Step 2: Convert to fraction form
    6,398.46/9,585.38 = 3,926.06/x
  3. Step 3: Cross multiply
    6,398.46x = 9,585.38 × 3,926.06
  4. Step 4: Simplify right side
    6,398.46x = 37,632,777.00
  5. Step 5: Solve for x
    x = 37,632,777.00/6,398.46
  6. Step 6: Final answer
    x = 5,881.54

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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.