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Finding the Fourth Proportional to 9,706.96, 14,561.72 and 3,468.24

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Solution

The fourth proportional to 9,706.96, 14,561.72 and 3,468.24 is: 5,202.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.96 : 14,561.72 = 3,468.24 : x
  2. Step 2: Convert to fraction form
    9,706.96/14,561.72 = 3,468.24/x
  3. Step 3: Cross multiply
    9,706.96x = 14,561.72 × 3,468.24
  4. Step 4: Simplify right side
    9,706.96x = 50,503,539.77
  5. Step 5: Solve for x
    x = 50,503,539.77/9,706.96
  6. Step 6: Final answer
    x = 5,202.82

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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.