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Finding the Fourth Proportional to 6,357.94, 9,538.27 and 1,975.23

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Solution

The fourth proportional to 6,357.94, 9,538.27 and 1,975.23 is: 2,963.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.94 : 9,538.27 = 1,975.23 : x
  2. Step 2: Convert to fraction form
    6,357.94/9,538.27 = 1,975.23/x
  3. Step 3: Cross multiply
    6,357.94x = 9,538.27 × 1,975.23
  4. Step 4: Simplify right side
    6,357.94x = 18,840,272.11
  5. Step 5: Solve for x
    x = 18,840,272.11/6,357.94
  6. Step 6: Final answer
    x = 2,963.27

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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.