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Finding the Fourth Proportional to 9,938.16, 13,720.19 and 5,960.25

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Solution

The fourth proportional to 9,938.16, 13,720.19 and 5,960.25 is: 8,228.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,938.16 : 13,720.19 = 5,960.25 : x
  2. Step 2: Convert to fraction form
    9,938.16/13,720.19 = 5,960.25/x
  3. Step 3: Cross multiply
    9,938.16x = 13,720.19 × 5,960.25
  4. Step 4: Simplify right side
    9,938.16x = 81,775,732.65
  5. Step 5: Solve for x
    x = 81,775,732.65/9,938.16
  6. Step 6: Final answer
    x = 8,228.46

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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.