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Finding the Fourth Proportional to 9,207.51, 13,825.33 and 8,828.43

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Solution

The fourth proportional to 9,207.51, 13,825.33 and 8,828.43 is: 13,256.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,207.51 : 13,825.33 = 8,828.43 : x
  2. Step 2: Convert to fraction form
    9,207.51/13,825.33 = 8,828.43/x
  3. Step 3: Cross multiply
    9,207.51x = 13,825.33 × 8,828.43
  4. Step 4: Simplify right side
    9,207.51x = 122,055,933.88
  5. Step 5: Solve for x
    x = 122,055,933.88/9,207.51
  6. Step 6: Final answer
    x = 13,256.13

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