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Finding the Fourth Proportional to 9,155.28, 12,634.77 and 5,796.87

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Solution

The fourth proportional to 9,155.28, 12,634.77 and 5,796.87 is: 7,999.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,155.28 : 12,634.77 = 5,796.87 : x
  2. Step 2: Convert to fraction form
    9,155.28/12,634.77 = 5,796.87/x
  3. Step 3: Cross multiply
    9,155.28x = 12,634.77 × 5,796.87
  4. Step 4: Simplify right side
    9,155.28x = 73,242,119.17
  5. Step 5: Solve for x
    x = 73,242,119.17/9,155.28
  6. Step 6: Final answer
    x = 7,999.99

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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.