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Finding the Fourth Proportional to 9,512.37, 14,267.34 and 3,964.68

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Solution

The fourth proportional to 9,512.37, 14,267.34 and 3,964.68 is: 5,946.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,512.37 : 14,267.34 = 3,964.68 : x
  2. Step 2: Convert to fraction form
    9,512.37/14,267.34 = 3,964.68/x
  3. Step 3: Cross multiply
    9,512.37x = 14,267.34 × 3,964.68
  4. Step 4: Simplify right side
    9,512.37x = 56,565,437.55
  5. Step 5: Solve for x
    x = 56,565,437.55/9,512.37
  6. Step 6: Final answer
    x = 5,946.51

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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.