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Finding the Fourth Proportional to 6,201.12, 9,301.44 and 2,097.12

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Solution

The fourth proportional to 6,201.12, 9,301.44 and 2,097.12 is: 3,145.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.12 : 9,301.44 = 2,097.12 : x
  2. Step 2: Convert to fraction form
    6,201.12/9,301.44 = 2,097.12/x
  3. Step 3: Cross multiply
    6,201.12x = 9,301.44 × 2,097.12
  4. Step 4: Simplify right side
    6,201.12x = 19,506,235.85
  5. Step 5: Solve for x
    x = 19,506,235.85/6,201.12
  6. Step 6: Final answer
    x = 3,145.60

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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.