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Finding the Fourth Proportional to 9,187.11, 12,678.08 and 5,410.44

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Solution

The fourth proportional to 9,187.11, 12,678.08 and 5,410.44 is: 7,466.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,187.11 : 12,678.08 = 5,410.44 : x
  2. Step 2: Convert to fraction form
    9,187.11/12,678.08 = 5,410.44/x
  3. Step 3: Cross multiply
    9,187.11x = 12,678.08 × 5,410.44
  4. Step 4: Simplify right side
    9,187.11x = 68,593,964.10
  5. Step 5: Solve for x
    x = 68,593,964.10/9,187.11
  6. Step 6: Final answer
    x = 7,466.33

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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.