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Finding the Fourth Proportional to 9,776.28, 13,491.24 and 5,299.76

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Solution

The fourth proportional to 9,776.28, 13,491.24 and 5,299.76 is: 7,313.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.28 : 13,491.24 = 5,299.76 : x
  2. Step 2: Convert to fraction form
    9,776.28/13,491.24 = 5,299.76/x
  3. Step 3: Cross multiply
    9,776.28x = 13,491.24 × 5,299.76
  4. Step 4: Simplify right side
    9,776.28x = 71,500,334.10
  5. Step 5: Solve for x
    x = 71,500,334.10/9,776.28
  6. Step 6: Final answer
    x = 7,313.65

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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.