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Finding the Fourth Proportional to 9,996.81, 14,978.80 and 3,419.41

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Solution

The fourth proportional to 9,996.81, 14,978.80 and 3,419.41 is: 5,123.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,996.81 : 14,978.80 = 3,419.41 : x
  2. Step 2: Convert to fraction form
    9,996.81/14,978.80 = 3,419.41/x
  3. Step 3: Cross multiply
    9,996.81x = 14,978.80 × 3,419.41
  4. Step 4: Simplify right side
    9,996.81x = 51,218,658.51
  5. Step 5: Solve for x
    x = 51,218,658.51/9,996.81
  6. Step 6: Final answer
    x = 5,123.50

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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.