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Finding the Fourth Proportional to 9,771.90, 13,476.50 and 7,672.38

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Solution

The fourth proportional to 9,771.90, 13,476.50 and 7,672.38 is: 10,581.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.90 : 13,476.50 = 7,672.38 : x
  2. Step 2: Convert to fraction form
    9,771.90/13,476.50 = 7,672.38/x
  3. Step 3: Cross multiply
    9,771.90x = 13,476.50 × 7,672.38
  4. Step 4: Simplify right side
    9,771.90x = 103,396,829.07
  5. Step 5: Solve for x
    x = 103,396,829.07/9,771.90
  6. Step 6: Final answer
    x = 10,581.04

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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.