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Finding the Fourth Proportional to 9,175.26, 13,748.49 and 7,100.31

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Solution

The fourth proportional to 9,175.26, 13,748.49 and 7,100.31 is: 10,639.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,175.26 : 13,748.49 = 7,100.31 : x
  2. Step 2: Convert to fraction form
    9,175.26/13,748.49 = 7,100.31/x
  3. Step 3: Cross multiply
    9,175.26x = 13,748.49 × 7,100.31
  4. Step 4: Simplify right side
    9,175.26x = 97,618,541.03
  5. Step 5: Solve for x
    x = 97,618,541.03/9,175.26
  6. Step 6: Final answer
    x = 10,639.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.