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Finding the Fourth Proportional to 9,971.97, 14,928.96 and 5,799.25

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Solution

The fourth proportional to 9,971.97, 14,928.96 and 5,799.25 is: 8,682.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971.97 : 14,928.96 = 5,799.25 : x
  2. Step 2: Convert to fraction form
    9,971.97/14,928.96 = 5,799.25/x
  3. Step 3: Cross multiply
    9,971.97x = 14,928.96 × 5,799.25
  4. Step 4: Simplify right side
    9,971.97x = 86,576,771.28
  5. Step 5: Solve for x
    x = 86,576,771.28/9,971.97
  6. Step 6: Final answer
    x = 8,682.01

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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.