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Finding the Fourth Proportional to 9,668.58, 14,500.68 and 4,733.28

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Solution

The fourth proportional to 9,668.58, 14,500.68 and 4,733.28 is: 7,098.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.58 : 14,500.68 = 4,733.28 : x
  2. Step 2: Convert to fraction form
    9,668.58/14,500.68 = 4,733.28/x
  3. Step 3: Cross multiply
    9,668.58x = 14,500.68 × 4,733.28
  4. Step 4: Simplify right side
    9,668.58x = 68,635,778.63
  5. Step 5: Solve for x
    x = 68,635,778.63/9,668.58
  6. Step 6: Final answer
    x = 7,098.85

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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.