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Finding the Fourth Proportional to 9,446.54, 14,158.19 and 4,175.87

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Solution

The fourth proportional to 9,446.54, 14,158.19 and 4,175.87 is: 6,258.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,446.54 : 14,158.19 = 4,175.87 : x
  2. Step 2: Convert to fraction form
    9,446.54/14,158.19 = 4,175.87/x
  3. Step 3: Cross multiply
    9,446.54x = 14,158.19 × 4,175.87
  4. Step 4: Simplify right side
    9,446.54x = 59,122,760.88
  5. Step 5: Solve for x
    x = 59,122,760.88/9,446.54
  6. Step 6: Final answer
    x = 6,258.67

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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.