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Finding the Fourth Proportional to 9,668.78, 14,500 and 3,093.40

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Solution

The fourth proportional to 9,668.78, 14,500 and 3,093.40 is: 4,639.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.78 : 14,500 = 3,093.40 : x
  2. Step 2: Convert to fraction form
    9,668.78/14,500 = 3,093.40/x
  3. Step 3: Cross multiply
    9,668.78x = 14,500 × 3,093.40
  4. Step 4: Simplify right side
    9,668.78x = 44,854,300
  5. Step 5: Solve for x
    x = 44,854,300/9,668.78
  6. Step 6: Final answer
    x = 4,639.09

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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.