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Finding the Fourth Proportional to 6,269.94, 8,649.69 and 4,031.00

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Solution

The fourth proportional to 6,269.94, 8,649.69 and 4,031.00 is: 5,560.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,269.94 : 8,649.69 = 4,031.00 : x
  2. Step 2: Convert to fraction form
    6,269.94/8,649.69 = 4,031.00/x
  3. Step 3: Cross multiply
    6,269.94x = 8,649.69 × 4,031.00
  4. Step 4: Simplify right side
    6,269.94x = 34,866,874.46
  5. Step 5: Solve for x
    x = 34,866,874.46/6,269.94
  6. Step 6: Final answer
    x = 5,560.96

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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.