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Finding the Fourth Proportional to 9,649.62, 14,463.09 and 4,099.50

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Solution

The fourth proportional to 9,649.62, 14,463.09 and 4,099.50 is: 6,144.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.62 : 14,463.09 = 4,099.50 : x
  2. Step 2: Convert to fraction form
    9,649.62/14,463.09 = 4,099.50/x
  3. Step 3: Cross multiply
    9,649.62x = 14,463.09 × 4,099.50
  4. Step 4: Simplify right side
    9,649.62x = 59,291,437.46
  5. Step 5: Solve for x
    x = 59,291,437.46/9,649.62
  6. Step 6: Final answer
    x = 6,144.43

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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.