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Finding the Fourth Proportional to 9,776.11, 13,491.04 and 5,299.86

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Solution

The fourth proportional to 9,776.11, 13,491.04 and 5,299.86 is: 7,313.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.11 : 13,491.04 = 5,299.86 : x
  2. Step 2: Convert to fraction form
    9,776.11/13,491.04 = 5,299.86/x
  3. Step 3: Cross multiply
    9,776.11x = 13,491.04 × 5,299.86
  4. Step 4: Simplify right side
    9,776.11x = 71,500,623.25
  5. Step 5: Solve for x
    x = 71,500,623.25/9,776.11
  6. Step 6: Final answer
    x = 7,313.81

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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.