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Finding the Fourth Proportional to 9,972.64, 13,762.14 and 5,942.24

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Solution

The fourth proportional to 9,972.64, 13,762.14 and 5,942.24 is: 8,200.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,972.64 : 13,762.14 = 5,942.24 : x
  2. Step 2: Convert to fraction form
    9,972.64/13,762.14 = 5,942.24/x
  3. Step 3: Cross multiply
    9,972.64x = 13,762.14 × 5,942.24
  4. Step 4: Simplify right side
    9,972.64x = 81,777,938.79
  5. Step 5: Solve for x
    x = 81,777,938.79/9,972.64
  6. Step 6: Final answer
    x = 8,200.23

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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.