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Finding the Fourth Proportional to 9,706.91, 14,561.27 and 3,467.58

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Solution

The fourth proportional to 9,706.91, 14,561.27 and 3,467.58 is: 5,201.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.91 : 14,561.27 = 3,467.58 : x
  2. Step 2: Convert to fraction form
    9,706.91/14,561.27 = 3,467.58/x
  3. Step 3: Cross multiply
    9,706.91x = 14,561.27 × 3,467.58
  4. Step 4: Simplify right side
    9,706.91x = 50,492,368.63
  5. Step 5: Solve for x
    x = 50,492,368.63/9,706.91
  6. Step 6: Final answer
    x = 5,201.69

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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.