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Finding the Fourth Proportional to 9,775.14, 14,662.68 and 2,379.54

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Solution

The fourth proportional to 9,775.14, 14,662.68 and 2,379.54 is: 3,569.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.14 : 14,662.68 = 2,379.54 : x
  2. Step 2: Convert to fraction form
    9,775.14/14,662.68 = 2,379.54/x
  3. Step 3: Cross multiply
    9,775.14x = 14,662.68 × 2,379.54
  4. Step 4: Simplify right side
    9,775.14x = 34,890,433.57
  5. Step 5: Solve for x
    x = 34,890,433.57/9,775.14
  6. Step 6: Final answer
    x = 3,569.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.