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Finding the Fourth Proportional to 9,706.46, 14,556.60 and 4,158.32

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Solution

The fourth proportional to 9,706.46, 14,556.60 and 4,158.32 is: 6,236.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.46 : 14,556.60 = 4,158.32 : x
  2. Step 2: Convert to fraction form
    9,706.46/14,556.60 = 4,158.32/x
  3. Step 3: Cross multiply
    9,706.46x = 14,556.60 × 4,158.32
  4. Step 4: Simplify right side
    9,706.46x = 60,530,928.13
  5. Step 5: Solve for x
    x = 60,530,928.13/9,706.46
  6. Step 6: Final answer
    x = 6,236.15

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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.