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Finding the Fourth Proportional to 7,134.64, 9,845.64 and 3,991.12

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Solution

The fourth proportional to 7,134.64, 9,845.64 and 3,991.12 is: 5,507.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,134.64 : 9,845.64 = 3,991.12 : x
  2. Step 2: Convert to fraction form
    7,134.64/9,845.64 = 3,991.12/x
  3. Step 3: Cross multiply
    7,134.64x = 9,845.64 × 3,991.12
  4. Step 4: Simplify right side
    7,134.64x = 39,295,130.72
  5. Step 5: Solve for x
    x = 39,295,130.72/7,134.64
  6. Step 6: Final answer
    x = 5,507.65

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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.