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Finding the Fourth Proportional to 9,076.50, 13,605.03 and 3,810.20

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Solution

The fourth proportional to 9,076.50, 13,605.03 and 3,810.20 is: 5,711.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,076.50 : 13,605.03 = 3,810.20 : x
  2. Step 2: Convert to fraction form
    9,076.50/13,605.03 = 3,810.20/x
  3. Step 3: Cross multiply
    9,076.50x = 13,605.03 × 3,810.20
  4. Step 4: Simplify right side
    9,076.50x = 51,837,817.28
  5. Step 5: Solve for x
    x = 51,837,817.28/9,076.50
  6. Step 6: Final answer
    x = 5,711.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.