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Finding the Fourth Proportional to 8,946.26, 13,421.50 and 2,706.32

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Solution

The fourth proportional to 8,946.26, 13,421.50 and 2,706.32 is: 4,060.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946.26 : 13,421.50 = 2,706.32 : x
  2. Step 2: Convert to fraction form
    8,946.26/13,421.50 = 2,706.32/x
  3. Step 3: Cross multiply
    8,946.26x = 13,421.50 × 2,706.32
  4. Step 4: Simplify right side
    8,946.26x = 36,322,919.54
  5. Step 5: Solve for x
    x = 36,322,919.54/8,946.26
  6. Step 6: Final answer
    x = 4,060.12

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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.