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Finding the Fourth Proportional to 9,890.84, 13,649.38 and 5,414.78

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Solution

The fourth proportional to 9,890.84, 13,649.38 and 5,414.78 is: 7,472.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,890.84 : 13,649.38 = 5,414.78 : x
  2. Step 2: Convert to fraction form
    9,890.84/13,649.38 = 5,414.78/x
  3. Step 3: Cross multiply
    9,890.84x = 13,649.38 × 5,414.78
  4. Step 4: Simplify right side
    9,890.84x = 73,908,389.84
  5. Step 5: Solve for x
    x = 73,908,389.84/9,890.84
  6. Step 6: Final answer
    x = 7,472.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.