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Finding the Fourth Proportional to 9,316.26, 12,861.91 and 5,781.42

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Solution

The fourth proportional to 9,316.26, 12,861.91 and 5,781.42 is: 7,981.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,316.26 : 12,861.91 = 5,781.42 : x
  2. Step 2: Convert to fraction form
    9,316.26/12,861.91 = 5,781.42/x
  3. Step 3: Cross multiply
    9,316.26x = 12,861.91 × 5,781.42
  4. Step 4: Simplify right side
    9,316.26x = 74,360,039.40
  5. Step 5: Solve for x
    x = 74,360,039.40/9,316.26
  6. Step 6: Final answer
    x = 7,981.75

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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.