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Finding the Fourth Proportional to 9,491.82, 13,098.45 and 5,243.19

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Solution

The fourth proportional to 9,491.82, 13,098.45 and 5,243.19 is: 7,235.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.82 : 13,098.45 = 5,243.19 : x
  2. Step 2: Convert to fraction form
    9,491.82/13,098.45 = 5,243.19/x
  3. Step 3: Cross multiply
    9,491.82x = 13,098.45 × 5,243.19
  4. Step 4: Simplify right side
    9,491.82x = 68,677,662.06
  5. Step 5: Solve for x
    x = 68,677,662.06/9,491.82
  6. Step 6: Final answer
    x = 7,235.46

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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.