Home / 9,828.24-14,742.40-3,984.96

Finding the Fourth Proportional to 9,828.24, 14,742.40 and 3,984.96

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Solution

The fourth proportional to 9,828.24, 14,742.40 and 3,984.96 is: 5,977.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,828.24 : 14,742.40 = 3,984.96 : x
  2. Step 2: Convert to fraction form
    9,828.24/14,742.40 = 3,984.96/x
  3. Step 3: Cross multiply
    9,828.24x = 14,742.40 × 3,984.96
  4. Step 4: Simplify right side
    9,828.24x = 58,747,874.30
  5. Step 5: Solve for x
    x = 58,747,874.30/9,828.24
  6. Step 6: Final answer
    x = 5,977.46

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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.