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Finding the Fourth Proportional to 9,938.05, 13,726.53 and 7,245

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Solution

The fourth proportional to 9,938.05, 13,726.53 and 7,245 is: 10,006.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,938.05 : 13,726.53 = 7,245 : x
  2. Step 2: Convert to fraction form
    9,938.05/13,726.53 = 7,245/x
  3. Step 3: Cross multiply
    9,938.05x = 13,726.53 × 7,245
  4. Step 4: Simplify right side
    9,938.05x = 99,448,709.85
  5. Step 5: Solve for x
    x = 99,448,709.85/9,938.05
  6. Step 6: Final answer
    x = 10,006.87

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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.