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Finding the Fourth Proportional to 6,274.27, 9,407.76 and 3,350.98

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Solution

The fourth proportional to 6,274.27, 9,407.76 and 3,350.98 is: 5,024.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.27 : 9,407.76 = 3,350.98 : x
  2. Step 2: Convert to fraction form
    6,274.27/9,407.76 = 3,350.98/x
  3. Step 3: Cross multiply
    6,274.27x = 9,407.76 × 3,350.98
  4. Step 4: Simplify right side
    6,274.27x = 31,525,214.80
  5. Step 5: Solve for x
    x = 31,525,214.80/6,274.27
  6. Step 6: Final answer
    x = 5,024.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.