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Finding the Fourth Proportional to 9,838.03, 13,576.74 and 5,362.09

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Solution

The fourth proportional to 9,838.03, 13,576.74 and 5,362.09 is: 7,399.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.03 : 13,576.74 = 5,362.09 : x
  2. Step 2: Convert to fraction form
    9,838.03/13,576.74 = 5,362.09/x
  3. Step 3: Cross multiply
    9,838.03x = 13,576.74 × 5,362.09
  4. Step 4: Simplify right side
    9,838.03x = 72,799,701.79
  5. Step 5: Solve for x
    x = 72,799,701.79/9,838.03
  6. Step 6: Final answer
    x = 7,399.83

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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.