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Finding the Fourth Proportional to 9,606.86, 14,404.08 and 3,764.06

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Solution

The fourth proportional to 9,606.86, 14,404.08 and 3,764.06 is: 5,643.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606.86 : 14,404.08 = 3,764.06 : x
  2. Step 2: Convert to fraction form
    9,606.86/14,404.08 = 3,764.06/x
  3. Step 3: Cross multiply
    9,606.86x = 14,404.08 × 3,764.06
  4. Step 4: Simplify right side
    9,606.86x = 54,217,821.36
  5. Step 5: Solve for x
    x = 54,217,821.36/9,606.86
  6. Step 6: Final answer
    x = 5,643.66

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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.