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Finding the Fourth Proportional to 9,628, 14,442 and 2,332

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Solution

The fourth proportional to 9,628, 14,442 and 2,332 is: 3,498

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,628 : 14,442 = 2,332 : x
  2. Step 2: Convert to fraction form
    9,628/14,442 = 2,332/x
  3. Step 3: Cross multiply
    9,628x = 14,442 × 2,332
  4. Step 4: Simplify right side
    9,628x = 33,678,744
  5. Step 5: Solve for x
    x = 33,678,744/9,628
  6. Step 6: Final answer
    x = 3,498

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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.