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Finding the Fourth Proportional to 9,536.81, 14,306.88 and 2,963.66

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Solution

The fourth proportional to 9,536.81, 14,306.88 and 2,963.66 is: 4,446.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,536.81 : 14,306.88 = 2,963.66 : x
  2. Step 2: Convert to fraction form
    9,536.81/14,306.88 = 2,963.66/x
  3. Step 3: Cross multiply
    9,536.81x = 14,306.88 × 2,963.66
  4. Step 4: Simplify right side
    9,536.81x = 42,400,727.98
  5. Step 5: Solve for x
    x = 42,400,727.98/9,536.81
  6. Step 6: Final answer
    x = 4,446.01

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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.