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Finding the Fourth Proportional to 9,538.56, 14,309.51 and 2,965.41

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Solution

The fourth proportional to 9,538.56, 14,309.51 and 2,965.41 is: 4,448.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,538.56 : 14,309.51 = 2,965.41 : x
  2. Step 2: Convert to fraction form
    9,538.56/14,309.51 = 2,965.41/x
  3. Step 3: Cross multiply
    9,538.56x = 14,309.51 × 2,965.41
  4. Step 4: Simplify right side
    9,538.56x = 42,433,549.22
  5. Step 5: Solve for x
    x = 42,433,549.22/9,538.56
  6. Step 6: Final answer
    x = 4,448.63

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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.