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Finding the Fourth Proportional to 9,760.50, 14,631.84 and 3,515.40

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Solution

The fourth proportional to 9,760.50, 14,631.84 and 3,515.40 is: 5,269.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.50 : 14,631.84 = 3,515.40 : x
  2. Step 2: Convert to fraction form
    9,760.50/14,631.84 = 3,515.40/x
  3. Step 3: Cross multiply
    9,760.50x = 14,631.84 × 3,515.40
  4. Step 4: Simplify right side
    9,760.50x = 51,436,770.34
  5. Step 5: Solve for x
    x = 51,436,770.34/9,760.50
  6. Step 6: Final answer
    x = 5,269.89

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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.