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Finding the Fourth Proportional to 9,289.32, 12,764.73 and 7,423.08

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Solution

The fourth proportional to 9,289.32, 12,764.73 and 7,423.08 is: 10,200.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,289.32 : 12,764.73 = 7,423.08 : x
  2. Step 2: Convert to fraction form
    9,289.32/12,764.73 = 7,423.08/x
  3. Step 3: Cross multiply
    9,289.32x = 12,764.73 × 7,423.08
  4. Step 4: Simplify right side
    9,289.32x = 94,753,611.97
  5. Step 5: Solve for x
    x = 94,753,611.97/9,289.32
  6. Step 6: Final answer
    x = 10,200.27

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.