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Finding the Fourth Proportional to 9,584.80, 14,377.20 and 9,166.60

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Solution

The fourth proportional to 9,584.80, 14,377.20 and 9,166.60 is: 13,749.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,584.80 : 14,377.20 = 9,166.60 : x
  2. Step 2: Convert to fraction form
    9,584.80/14,377.20 = 9,166.60/x
  3. Step 3: Cross multiply
    9,584.80x = 14,377.20 × 9,166.60
  4. Step 4: Simplify right side
    9,584.80x = 131,790,041.52
  5. Step 5: Solve for x
    x = 131,790,041.52/9,584.80
  6. Step 6: Final answer
    x = 13,749.90

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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.