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Finding the Fourth Proportional to 6,293.49, 9,443.41 and 4,456.41

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Solution

The fourth proportional to 6,293.49, 9,443.41 and 4,456.41 is: 6,686.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,293.49 : 9,443.41 = 4,456.41 : x
  2. Step 2: Convert to fraction form
    6,293.49/9,443.41 = 4,456.41/x
  3. Step 3: Cross multiply
    6,293.49x = 9,443.41 × 4,456.41
  4. Step 4: Simplify right side
    6,293.49x = 42,083,706.76
  5. Step 5: Solve for x
    x = 42,083,706.76/6,293.49
  6. Step 6: Final answer
    x = 6,686.86

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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.