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Finding the Fourth Proportional to 9,509.75, 14,261.86 and 3,664.99

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Solution

The fourth proportional to 9,509.75, 14,261.86 and 3,664.99 is: 5,496.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.75 : 14,261.86 = 3,664.99 : x
  2. Step 2: Convert to fraction form
    9,509.75/14,261.86 = 3,664.99/x
  3. Step 3: Cross multiply
    9,509.75x = 14,261.86 × 3,664.99
  4. Step 4: Simplify right side
    9,509.75x = 52,269,484.65
  5. Step 5: Solve for x
    x = 52,269,484.65/9,509.75
  6. Step 6: Final answer
    x = 5,496.41

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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.