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Finding the Fourth Proportional to 9,041.76, 13,563.90 and 4,112.64

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Solution

The fourth proportional to 9,041.76, 13,563.90 and 4,112.64 is: 6,169.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,041.76 : 13,563.90 = 4,112.64 : x
  2. Step 2: Convert to fraction form
    9,041.76/13,563.90 = 4,112.64/x
  3. Step 3: Cross multiply
    9,041.76x = 13,563.90 × 4,112.64
  4. Step 4: Simplify right side
    9,041.76x = 55,783,437.70
  5. Step 5: Solve for x
    x = 55,783,437.70/9,041.76
  6. Step 6: Final answer
    x = 6,169.53

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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.