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Finding the Fourth Proportional to 9,491.97, 13,099.28 and 5,301.03

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Solution

The fourth proportional to 9,491.97, 13,099.28 and 5,301.03 is: 7,315.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.97 : 13,099.28 = 5,301.03 : x
  2. Step 2: Convert to fraction form
    9,491.97/13,099.28 = 5,301.03/x
  3. Step 3: Cross multiply
    9,491.97x = 13,099.28 × 5,301.03
  4. Step 4: Simplify right side
    9,491.97x = 69,439,649.75
  5. Step 5: Solve for x
    x = 69,439,649.75/9,491.97
  6. Step 6: Final answer
    x = 7,315.62

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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.