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Finding the Fourth Proportional to 9,626.80, 14,440.20 and 9,529.60

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Solution

The fourth proportional to 9,626.80, 14,440.20 and 9,529.60 is: 14,294.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,626.80 : 14,440.20 = 9,529.60 : x
  2. Step 2: Convert to fraction form
    9,626.80/14,440.20 = 9,529.60/x
  3. Step 3: Cross multiply
    9,626.80x = 14,440.20 × 9,529.60
  4. Step 4: Simplify right side
    9,626.80x = 137,609,329.92
  5. Step 5: Solve for x
    x = 137,609,329.92/9,626.80
  6. Step 6: Final answer
    x = 14,294.40

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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.