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Finding the Fourth Proportional to 9,021.64, 12,445.50 and 5,662.78

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Solution

The fourth proportional to 9,021.64, 12,445.50 and 5,662.78 is: 7,811.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,021.64 : 12,445.50 = 5,662.78 : x
  2. Step 2: Convert to fraction form
    9,021.64/12,445.50 = 5,662.78/x
  3. Step 3: Cross multiply
    9,021.64x = 12,445.50 × 5,662.78
  4. Step 4: Simplify right side
    9,021.64x = 70,476,128.49
  5. Step 5: Solve for x
    x = 70,476,128.49/9,021.64
  6. Step 6: Final answer
    x = 7,811.90

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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.