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Finding the Fourth Proportional to 9,620.56, 13,274.85 and 5,428

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Solution

The fourth proportional to 9,620.56, 13,274.85 and 5,428 is: 7,489.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,620.56 : 13,274.85 = 5,428 : x
  2. Step 2: Convert to fraction form
    9,620.56/13,274.85 = 5,428/x
  3. Step 3: Cross multiply
    9,620.56x = 13,274.85 × 5,428
  4. Step 4: Simplify right side
    9,620.56x = 72,055,885.80
  5. Step 5: Solve for x
    x = 72,055,885.80/9,620.56
  6. Step 6: Final answer
    x = 7,489.78

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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.