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Finding the Fourth Proportional to 9,861.68, 13,609.19 and 5,613.06

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Solution

The fourth proportional to 9,861.68, 13,609.19 and 5,613.06 is: 7,746.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,861.68 : 13,609.19 = 5,613.06 : x
  2. Step 2: Convert to fraction form
    9,861.68/13,609.19 = 5,613.06/x
  3. Step 3: Cross multiply
    9,861.68x = 13,609.19 × 5,613.06
  4. Step 4: Simplify right side
    9,861.68x = 76,389,244.04
  5. Step 5: Solve for x
    x = 76,389,244.04/9,861.68
  6. Step 6: Final answer
    x = 7,746.07

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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.