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Finding the Fourth Proportional to 6,184.36, 9,275.10 and 2,894.32

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Solution

The fourth proportional to 6,184.36, 9,275.10 and 2,894.32 is: 4,340.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.36 : 9,275.10 = 2,894.32 : x
  2. Step 2: Convert to fraction form
    6,184.36/9,275.10 = 2,894.32/x
  3. Step 3: Cross multiply
    6,184.36x = 9,275.10 × 2,894.32
  4. Step 4: Simplify right side
    6,184.36x = 26,845,107.43
  5. Step 5: Solve for x
    x = 26,845,107.43/6,184.36
  6. Step 6: Final answer
    x = 4,340.81

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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.