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Finding the Fourth Proportional to 9,882.37, 13,638.02 and 5,634.06

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Solution

The fourth proportional to 9,882.37, 13,638.02 and 5,634.06 is: 7,775.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882.37 : 13,638.02 = 5,634.06 : x
  2. Step 2: Convert to fraction form
    9,882.37/13,638.02 = 5,634.06/x
  3. Step 3: Cross multiply
    9,882.37x = 13,638.02 × 5,634.06
  4. Step 4: Simplify right side
    9,882.37x = 76,837,422.96
  5. Step 5: Solve for x
    x = 76,837,422.96/9,882.37
  6. Step 6: Final answer
    x = 7,775.20

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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.