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Finding the Fourth Proportional to 9,536.68, 14,305.02 and 2,963.26

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Solution

The fourth proportional to 9,536.68, 14,305.02 and 2,963.26 is: 4,444.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,536.68 : 14,305.02 = 2,963.26 : x
  2. Step 2: Convert to fraction form
    9,536.68/14,305.02 = 2,963.26/x
  3. Step 3: Cross multiply
    9,536.68x = 14,305.02 × 2,963.26
  4. Step 4: Simplify right side
    9,536.68x = 42,389,493.57
  5. Step 5: Solve for x
    x = 42,389,493.57/9,536.68
  6. Step 6: Final answer
    x = 4,444.89

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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.