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Finding the Fourth Proportional to 9,631, 14,448.54 and 3,057.68

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Solution

The fourth proportional to 9,631, 14,448.54 and 3,057.68 is: 4,587.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,631 : 14,448.54 = 3,057.68 : x
  2. Step 2: Convert to fraction form
    9,631/14,448.54 = 3,057.68/x
  3. Step 3: Cross multiply
    9,631x = 14,448.54 × 3,057.68
  4. Step 4: Simplify right side
    9,631x = 44,179,011.79
  5. Step 5: Solve for x
    x = 44,179,011.79/9,631
  6. Step 6: Final answer
    x = 4,587.17

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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.