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Finding the Fourth Proportional to 9,619.56, 13,273.47 and 5,427

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Solution

The fourth proportional to 9,619.56, 13,273.47 and 5,427 is: 7,488.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,619.56 : 13,273.47 = 5,427 : x
  2. Step 2: Convert to fraction form
    9,619.56/13,273.47 = 5,427/x
  3. Step 3: Cross multiply
    9,619.56x = 13,273.47 × 5,427
  4. Step 4: Simplify right side
    9,619.56x = 72,035,121.69
  5. Step 5: Solve for x
    x = 72,035,121.69/9,619.56
  6. Step 6: Final answer
    x = 7,488.40

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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.