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Finding the Fourth Proportional to 6,357.21, 9,536.43 and 1,973.49

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Solution

The fourth proportional to 6,357.21, 9,536.43 and 1,973.49 is: 2,960.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.21 : 9,536.43 = 1,973.49 : x
  2. Step 2: Convert to fraction form
    6,357.21/9,536.43 = 1,973.49/x
  3. Step 3: Cross multiply
    6,357.21x = 9,536.43 × 1,973.49
  4. Step 4: Simplify right side
    6,357.21x = 18,820,049.24
  5. Step 5: Solve for x
    x = 18,820,049.24/6,357.21
  6. Step 6: Final answer
    x = 2,960.43

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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.