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Finding the Fourth Proportional to 9,581.88, 14,394.60 and 8,269.68

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Solution

The fourth proportional to 9,581.88, 14,394.60 and 8,269.68 is: 12,423.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,581.88 : 14,394.60 = 8,269.68 : x
  2. Step 2: Convert to fraction form
    9,581.88/14,394.60 = 8,269.68/x
  3. Step 3: Cross multiply
    9,581.88x = 14,394.60 × 8,269.68
  4. Step 4: Simplify right side
    9,581.88x = 119,038,735.73
  5. Step 5: Solve for x
    x = 119,038,735.73/9,581.88
  6. Step 6: Final answer
    x = 12,423.32

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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.