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Finding the Fourth Proportional to 9,316.11, 12,861.98 and 6,410.67

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Solution

The fourth proportional to 9,316.11, 12,861.98 and 6,410.67 is: 8,850.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,316.11 : 12,861.98 = 6,410.67 : x
  2. Step 2: Convert to fraction form
    9,316.11/12,861.98 = 6,410.67/x
  3. Step 3: Cross multiply
    9,316.11x = 12,861.98 × 6,410.67
  4. Step 4: Simplify right side
    9,316.11x = 82,453,877.27
  5. Step 5: Solve for x
    x = 82,453,877.27/9,316.11
  6. Step 6: Final answer
    x = 8,850.68

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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.