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Finding the Fourth Proportional to 9,021.38, 12,445.16 and 5,662.53

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Solution

The fourth proportional to 9,021.38, 12,445.16 and 5,662.53 is: 7,811.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,021.38 : 12,445.16 = 5,662.53 : x
  2. Step 2: Convert to fraction form
    9,021.38/12,445.16 = 5,662.53/x
  3. Step 3: Cross multiply
    9,021.38x = 12,445.16 × 5,662.53
  4. Step 4: Simplify right side
    9,021.38x = 70,471,063.54
  5. Step 5: Solve for x
    x = 70,471,063.54/9,021.38
  6. Step 6: Final answer
    x = 7,811.57

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Why These Related Problems?

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