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Finding the Fourth Proportional to 9,811.50, 13,536.90 and 5,561.88

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Solution

The fourth proportional to 9,811.50, 13,536.90 and 5,561.88 is: 7,673.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.50 : 13,536.90 = 5,561.88 : x
  2. Step 2: Convert to fraction form
    9,811.50/13,536.90 = 5,561.88/x
  3. Step 3: Cross multiply
    9,811.50x = 13,536.90 × 5,561.88
  4. Step 4: Simplify right side
    9,811.50x = 75,290,613.37
  5. Step 5: Solve for x
    x = 75,290,613.37/9,811.50
  6. Step 6: Final answer
    x = 7,673.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.