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Finding the Fourth Proportional to 9,683.88, 14,519.97 and 4,346.09

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Solution

The fourth proportional to 9,683.88, 14,519.97 and 4,346.09 is: 6,516.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.88 : 14,519.97 = 4,346.09 : x
  2. Step 2: Convert to fraction form
    9,683.88/14,519.97 = 4,346.09/x
  3. Step 3: Cross multiply
    9,683.88x = 14,519.97 × 4,346.09
  4. Step 4: Simplify right side
    9,683.88x = 63,105,096.42
  5. Step 5: Solve for x
    x = 63,105,096.42/9,683.88
  6. Step 6: Final answer
    x = 6,516.51

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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.