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Finding the Fourth Proportional to 9,907.28, 14,861.24 and 3,668.86

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Solution

The fourth proportional to 9,907.28, 14,861.24 and 3,668.86 is: 5,503.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,907.28 : 14,861.24 = 3,668.86 : x
  2. Step 2: Convert to fraction form
    9,907.28/14,861.24 = 3,668.86/x
  3. Step 3: Cross multiply
    9,907.28x = 14,861.24 × 3,668.86
  4. Step 4: Simplify right side
    9,907.28x = 54,523,790.64
  5. Step 5: Solve for x
    x = 54,523,790.64/9,907.28
  6. Step 6: Final answer
    x = 5,503.41

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