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Finding the Fourth Proportional to 9,861.65, 13,609.42 and 5,613.35

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Solution

The fourth proportional to 9,861.65, 13,609.42 and 5,613.35 is: 7,746.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,861.65 : 13,609.42 = 5,613.35 : x
  2. Step 2: Convert to fraction form
    9,861.65/13,609.42 = 5,613.35/x
  3. Step 3: Cross multiply
    9,861.65x = 13,609.42 × 5,613.35
  4. Step 4: Simplify right side
    9,861.65x = 76,394,485.81
  5. Step 5: Solve for x
    x = 76,394,485.81/9,861.65
  6. Step 6: Final answer
    x = 7,746.62

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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.