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Finding the Fourth Proportional to 9,938.09, 13,713.40 and 5,461.12

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Solution

The fourth proportional to 9,938.09, 13,713.40 and 5,461.12 is: 7,535.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,938.09 : 13,713.40 = 5,461.12 : x
  2. Step 2: Convert to fraction form
    9,938.09/13,713.40 = 5,461.12/x
  3. Step 3: Cross multiply
    9,938.09x = 13,713.40 × 5,461.12
  4. Step 4: Simplify right side
    9,938.09x = 74,890,546.98
  5. Step 5: Solve for x
    x = 74,890,546.98/9,938.09
  6. Step 6: Final answer
    x = 7,535.71

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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.