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Finding the Fourth Proportional to 9,668.52, 14,500.13 and 3,427.70

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Solution

The fourth proportional to 9,668.52, 14,500.13 and 3,427.70 is: 5,140.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.52 : 14,500.13 = 3,427.70 : x
  2. Step 2: Convert to fraction form
    9,668.52/14,500.13 = 3,427.70/x
  3. Step 3: Cross multiply
    9,668.52x = 14,500.13 × 3,427.70
  4. Step 4: Simplify right side
    9,668.52x = 49,702,005.96
  5. Step 5: Solve for x
    x = 49,702,005.96/9,668.52
  6. Step 6: Final answer
    x = 5,140.60

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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.