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Finding the Fourth Proportional to 9,609.81, 13,246.38 and 7,083.83

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Solution

The fourth proportional to 9,609.81, 13,246.38 and 7,083.83 is: 9,764.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,609.81 : 13,246.38 = 7,083.83 : x
  2. Step 2: Convert to fraction form
    9,609.81/13,246.38 = 7,083.83/x
  3. Step 3: Cross multiply
    9,609.81x = 13,246.38 × 7,083.83
  4. Step 4: Simplify right side
    9,609.81x = 93,835,037.80
  5. Step 5: Solve for x
    x = 93,835,037.80/9,609.81
  6. Step 6: Final answer
    x = 9,764.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.