Home / 9,322-13,983.80-3,166.16

Finding the Fourth Proportional to 9,322, 13,983.80 and 3,166.16

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Solution

The fourth proportional to 9,322, 13,983.80 and 3,166.16 is: 4,749.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,322 : 13,983.80 = 3,166.16 : x
  2. Step 2: Convert to fraction form
    9,322/13,983.80 = 3,166.16/x
  3. Step 3: Cross multiply
    9,322x = 13,983.80 × 3,166.16
  4. Step 4: Simplify right side
    9,322x = 44,274,948.21
  5. Step 5: Solve for x
    x = 44,274,948.21/9,322
  6. Step 6: Final answer
    x = 4,749.51

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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.