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Finding the Fourth Proportional to 9,640.62, 14,459.31 and 2,713.50

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Solution

The fourth proportional to 9,640.62, 14,459.31 and 2,713.50 is: 4,069.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.62 : 14,459.31 = 2,713.50 : x
  2. Step 2: Convert to fraction form
    9,640.62/14,459.31 = 2,713.50/x
  3. Step 3: Cross multiply
    9,640.62x = 14,459.31 × 2,713.50
  4. Step 4: Simplify right side
    9,640.62x = 39,235,337.69
  5. Step 5: Solve for x
    x = 39,235,337.69/9,640.62
  6. Step 6: Final answer
    x = 4,069.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.