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Finding the Fourth Proportional to 9,566.62, 14,348.31 and 2,639.50

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Solution

The fourth proportional to 9,566.62, 14,348.31 and 2,639.50 is: 3,958.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,566.62 : 14,348.31 = 2,639.50 : x
  2. Step 2: Convert to fraction form
    9,566.62/14,348.31 = 2,639.50/x
  3. Step 3: Cross multiply
    9,566.62x = 14,348.31 × 2,639.50
  4. Step 4: Simplify right side
    9,566.62x = 37,872,364.25
  5. Step 5: Solve for x
    x = 37,872,364.25/9,566.62
  6. Step 6: Final answer
    x = 3,958.80

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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.