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Finding the Fourth Proportional to 9,293.20, 12,824.04 and 5,101.42

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Solution

The fourth proportional to 9,293.20, 12,824.04 and 5,101.42 is: 7,039.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293.20 : 12,824.04 = 5,101.42 : x
  2. Step 2: Convert to fraction form
    9,293.20/12,824.04 = 5,101.42/x
  3. Step 3: Cross multiply
    9,293.20x = 12,824.04 × 5,101.42
  4. Step 4: Simplify right side
    9,293.20x = 65,420,814.14
  5. Step 5: Solve for x
    x = 65,420,814.14/9,293.20
  6. Step 6: Final answer
    x = 7,039.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.