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Finding the Fourth Proportional to 9,687.59, 14,531.01 and 2,762.09

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Solution

The fourth proportional to 9,687.59, 14,531.01 and 2,762.09 is: 4,143.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.59 : 14,531.01 = 2,762.09 : x
  2. Step 2: Convert to fraction form
    9,687.59/14,531.01 = 2,762.09/x
  3. Step 3: Cross multiply
    9,687.59x = 14,531.01 × 2,762.09
  4. Step 4: Simplify right side
    9,687.59x = 40,135,957.41
  5. Step 5: Solve for x
    x = 40,135,957.41/9,687.59
  6. Step 6: Final answer
    x = 4,143.03

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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.