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Finding the Fourth Proportional to 9,792.51, 13,540.26 and 9,634.26

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Solution

The fourth proportional to 9,792.51, 13,540.26 and 9,634.26 is: 13,321.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.51 : 13,540.26 = 9,634.26 : x
  2. Step 2: Convert to fraction form
    9,792.51/13,540.26 = 9,634.26/x
  3. Step 3: Cross multiply
    9,792.51x = 13,540.26 × 9,634.26
  4. Step 4: Simplify right side
    9,792.51x = 130,450,385.31
  5. Step 5: Solve for x
    x = 130,450,385.31/9,792.51
  6. Step 6: Final answer
    x = 13,321.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.