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Finding the Fourth Proportional to 9,272.51, 13,892.49 and 7,722.48

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Solution

The fourth proportional to 9,272.51, 13,892.49 and 7,722.48 is: 11,570.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,272.51 : 13,892.49 = 7,722.48 : x
  2. Step 2: Convert to fraction form
    9,272.51/13,892.49 = 7,722.48/x
  3. Step 3: Cross multiply
    9,272.51x = 13,892.49 × 7,722.48
  4. Step 4: Simplify right side
    9,272.51x = 107,284,476.18
  5. Step 5: Solve for x
    x = 107,284,476.18/9,272.51
  6. Step 6: Final answer
    x = 11,570.17

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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.