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Finding the Fourth Proportional to 7,614.94, 11,394.71 and 6,286.34

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Solution

The fourth proportional to 7,614.94, 11,394.71 and 6,286.34 is: 9,406.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,614.94 : 11,394.71 = 6,286.34 : x
  2. Step 2: Convert to fraction form
    7,614.94/11,394.71 = 6,286.34/x
  3. Step 3: Cross multiply
    7,614.94x = 11,394.71 × 6,286.34
  4. Step 4: Simplify right side
    7,614.94x = 71,630,980.00
  5. Step 5: Solve for x
    x = 71,630,980.00/7,614.94
  6. Step 6: Final answer
    x = 9,406.64

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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.