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Finding the Fourth Proportional to 9,299.13, 12,834.63 and 5,266.68

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Solution

The fourth proportional to 9,299.13, 12,834.63 and 5,266.68 is: 7,269.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,299.13 : 12,834.63 = 5,266.68 : x
  2. Step 2: Convert to fraction form
    9,299.13/12,834.63 = 5,266.68/x
  3. Step 3: Cross multiply
    9,299.13x = 12,834.63 × 5,266.68
  4. Step 4: Simplify right side
    9,299.13x = 67,595,889.13
  5. Step 5: Solve for x
    x = 67,595,889.13/9,299.13
  6. Step 6: Final answer
    x = 7,269.06

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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.