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Finding the Fourth Proportional to 9,861.69, 13,609.02 and 5,385.60

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Solution

The fourth proportional to 9,861.69, 13,609.02 and 5,385.60 is: 7,432.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,861.69 : 13,609.02 = 5,385.60 : x
  2. Step 2: Convert to fraction form
    9,861.69/13,609.02 = 5,385.60/x
  3. Step 3: Cross multiply
    9,861.69x = 13,609.02 × 5,385.60
  4. Step 4: Simplify right side
    9,861.69x = 73,292,738.11
  5. Step 5: Solve for x
    x = 73,292,738.11/9,861.69
  6. Step 6: Final answer
    x = 7,432.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.