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Finding the Fourth Proportional to 9,996.84, 14,995.50 and 3,423

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Solution

The fourth proportional to 9,996.84, 14,995.50 and 3,423 is: 5,134.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,996.84 : 14,995.50 = 3,423 : x
  2. Step 2: Convert to fraction form
    9,996.84/14,995.50 = 3,423/x
  3. Step 3: Cross multiply
    9,996.84x = 14,995.50 × 3,423
  4. Step 4: Simplify right side
    9,996.84x = 51,329,596.50
  5. Step 5: Solve for x
    x = 51,329,596.50/9,996.84
  6. Step 6: Final answer
    x = 5,134.58

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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.