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Finding the Fourth Proportional to 9,846.32, 14,769.20 and 2,826.88

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Solution

The fourth proportional to 9,846.32, 14,769.20 and 2,826.88 is: 4,240.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.32 : 14,769.20 = 2,826.88 : x
  2. Step 2: Convert to fraction form
    9,846.32/14,769.20 = 2,826.88/x
  3. Step 3: Cross multiply
    9,846.32x = 14,769.20 × 2,826.88
  4. Step 4: Simplify right side
    9,846.32x = 41,750,756.10
  5. Step 5: Solve for x
    x = 41,750,756.10/9,846.32
  6. Step 6: Final answer
    x = 4,240.24

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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.