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Finding the Fourth Proportional to 9,938.62, 13,710.36 and 5,958.82

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Solution

The fourth proportional to 9,938.62, 13,710.36 and 5,958.82 is: 8,220.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,938.62 : 13,710.36 = 5,958.82 : x
  2. Step 2: Convert to fraction form
    9,938.62/13,710.36 = 5,958.82/x
  3. Step 3: Cross multiply
    9,938.62x = 13,710.36 × 5,958.82
  4. Step 4: Simplify right side
    9,938.62x = 81,697,567.38
  5. Step 5: Solve for x
    x = 81,697,567.38/9,938.62
  6. Step 6: Final answer
    x = 8,220.21

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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.