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Finding the Fourth Proportional to 9,197.33, 13,796.03 and 6,097.03

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Solution

The fourth proportional to 9,197.33, 13,796.03 and 6,097.03 is: 9,145.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.33 : 13,796.03 = 6,097.03 : x
  2. Step 2: Convert to fraction form
    9,197.33/13,796.03 = 6,097.03/x
  3. Step 3: Cross multiply
    9,197.33x = 13,796.03 × 6,097.03
  4. Step 4: Simplify right side
    9,197.33x = 84,114,808.79
  5. Step 5: Solve for x
    x = 84,114,808.79/9,197.33
  6. Step 6: Final answer
    x = 9,145.57

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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.