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Finding the Fourth Proportional to 9,424.10, 14,136 and 3,188.49

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Solution

The fourth proportional to 9,424.10, 14,136 and 3,188.49 is: 4,782.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,424.10 : 14,136 = 3,188.49 : x
  2. Step 2: Convert to fraction form
    9,424.10/14,136 = 3,188.49/x
  3. Step 3: Cross multiply
    9,424.10x = 14,136 × 3,188.49
  4. Step 4: Simplify right side
    9,424.10x = 45,072,494.64
  5. Step 5: Solve for x
    x = 45,072,494.64/9,424.10
  6. Step 6: Final answer
    x = 4,782.69

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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.