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Finding the Fourth Proportional to 6,389.88, 9,586.02 and 2,231.07

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Solution

The fourth proportional to 6,389.88, 9,586.02 and 2,231.07 is: 3,347.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,389.88 : 9,586.02 = 2,231.07 : x
  2. Step 2: Convert to fraction form
    6,389.88/9,586.02 = 2,231.07/x
  3. Step 3: Cross multiply
    6,389.88x = 9,586.02 × 2,231.07
  4. Step 4: Simplify right side
    6,389.88x = 21,387,054.06
  5. Step 5: Solve for x
    x = 21,387,054.06/6,389.88
  6. Step 6: Final answer
    x = 3,347.02

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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.