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Finding the Fourth Proportional to 7,144.27, 9,859.12 and 4,000.46

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Solution

The fourth proportional to 7,144.27, 9,859.12 and 4,000.46 is: 5,520.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.27 : 9,859.12 = 4,000.46 : x
  2. Step 2: Convert to fraction form
    7,144.27/9,859.12 = 4,000.46/x
  3. Step 3: Cross multiply
    7,144.27x = 9,859.12 × 4,000.46
  4. Step 4: Simplify right side
    7,144.27x = 39,440,955.90
  5. Step 5: Solve for x
    x = 39,440,955.90/7,144.27
  6. Step 6: Final answer
    x = 5,520.64

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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.