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Finding the Fourth Proportional to 9,901.69, 13,664.21 and 5,425.38

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Solution

The fourth proportional to 9,901.69, 13,664.21 and 5,425.38 is: 7,486.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.69 : 13,664.21 = 5,425.38 : x
  2. Step 2: Convert to fraction form
    9,901.69/13,664.21 = 5,425.38/x
  3. Step 3: Cross multiply
    9,901.69x = 13,664.21 × 5,425.38
  4. Step 4: Simplify right side
    9,901.69x = 74,133,535.04
  5. Step 5: Solve for x
    x = 74,133,535.04/9,901.69
  6. Step 6: Final answer
    x = 7,486.96

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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.