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Finding the Fourth Proportional to 9,838.26, 13,576.80 and 5,422.26

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Solution

The fourth proportional to 9,838.26, 13,576.80 and 5,422.26 is: 7,482.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.26 : 13,576.80 = 5,422.26 : x
  2. Step 2: Convert to fraction form
    9,838.26/13,576.80 = 5,422.26/x
  3. Step 3: Cross multiply
    9,838.26x = 13,576.80 × 5,422.26
  4. Step 4: Simplify right side
    9,838.26x = 73,616,939.57
  5. Step 5: Solve for x
    x = 73,616,939.57/9,838.26
  6. Step 6: Final answer
    x = 7,482.72

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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.