Home / 9,825.42-14,738.12-3,982.08

Finding the Fourth Proportional to 9,825.42, 14,738.12 and 3,982.08

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Solution

The fourth proportional to 9,825.42, 14,738.12 and 3,982.08 is: 5,973.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.42 : 14,738.12 = 3,982.08 : x
  2. Step 2: Convert to fraction form
    9,825.42/14,738.12 = 3,982.08/x
  3. Step 3: Cross multiply
    9,825.42x = 14,738.12 × 3,982.08
  4. Step 4: Simplify right side
    9,825.42x = 58,688,372.89
  5. Step 5: Solve for x
    x = 58,688,372.89/9,825.42
  6. Step 6: Final answer
    x = 5,973.12

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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.