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Finding the Fourth Proportional to 10,258.88, 14,186.41 and 9,794.75

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Solution

The fourth proportional to 10,258.88, 14,186.41 and 9,794.75 is: 13,544.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,258.88 : 14,186.41 = 9,794.75 : x
  2. Step 2: Convert to fraction form
    10,258.88/14,186.41 = 9,794.75/x
  3. Step 3: Cross multiply
    10,258.88x = 14,186.41 × 9,794.75
  4. Step 4: Simplify right side
    10,258.88x = 138,952,243.93
  5. Step 5: Solve for x
    x = 138,952,243.93/10,258.88
  6. Step 6: Final answer
    x = 13,544.59

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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.