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Finding the Fourth Proportional to 9,512.24, 14,258.11 and 3,964.10

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Solution

The fourth proportional to 9,512.24, 14,258.11 and 3,964.10 is: 5,941.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,512.24 : 14,258.11 = 3,964.10 : x
  2. Step 2: Convert to fraction form
    9,512.24/14,258.11 = 3,964.10/x
  3. Step 3: Cross multiply
    9,512.24x = 14,258.11 × 3,964.10
  4. Step 4: Simplify right side
    9,512.24x = 56,520,492.65
  5. Step 5: Solve for x
    x = 56,520,492.65/9,512.24
  6. Step 6: Final answer
    x = 5,941.87

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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.