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Finding the Fourth Proportional to 10,097.69, 13,935.46 and 6,738.36

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Solution

The fourth proportional to 10,097.69, 13,935.46 and 6,738.36 is: 9,299.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.69 : 13,935.46 = 6,738.36 : x
  2. Step 2: Convert to fraction form
    10,097.69/13,935.46 = 6,738.36/x
  3. Step 3: Cross multiply
    10,097.69x = 13,935.46 × 6,738.36
  4. Step 4: Simplify right side
    10,097.69x = 93,902,129.40
  5. Step 5: Solve for x
    x = 93,902,129.40/10,097.69
  6. Step 6: Final answer
    x = 9,299.37

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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.