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Finding the Fourth Proportional to 9,041.24, 13,546.34 and 8,128.20

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Solution

The fourth proportional to 9,041.24, 13,546.34 and 8,128.20 is: 12,178.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,041.24 : 13,546.34 = 8,128.20 : x
  2. Step 2: Convert to fraction form
    9,041.24/13,546.34 = 8,128.20/x
  3. Step 3: Cross multiply
    9,041.24x = 13,546.34 × 8,128.20
  4. Step 4: Simplify right side
    9,041.24x = 110,107,360.79
  5. Step 5: Solve for x
    x = 110,107,360.79/9,041.24
  6. Step 6: Final answer
    x = 12,178.35

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