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Finding the Fourth Proportional to 6,184.25, 9,276.24 and 1,504.28

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Solution

The fourth proportional to 6,184.25, 9,276.24 and 1,504.28 is: 2,256.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.25 : 9,276.24 = 1,504.28 : x
  2. Step 2: Convert to fraction form
    6,184.25/9,276.24 = 1,504.28/x
  3. Step 3: Cross multiply
    6,184.25x = 9,276.24 × 1,504.28
  4. Step 4: Simplify right side
    6,184.25x = 13,954,015.93
  5. Step 5: Solve for x
    x = 13,954,015.93/6,184.25
  6. Step 6: Final answer
    x = 2,256.38

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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.