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Finding the Fourth Proportional to 9,491.41, 13,098.17 and 5,299.81

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Solution

The fourth proportional to 9,491.41, 13,098.17 and 5,299.81 is: 7,313.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.41 : 13,098.17 = 5,299.81 : x
  2. Step 2: Convert to fraction form
    9,491.41/13,098.17 = 5,299.81/x
  3. Step 3: Cross multiply
    9,491.41x = 13,098.17 × 5,299.81
  4. Step 4: Simplify right side
    9,491.41x = 69,417,812.35
  5. Step 5: Solve for x
    x = 69,417,812.35/9,491.41
  6. Step 6: Final answer
    x = 7,313.75

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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.