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Finding the Fourth Proportional to 6,293.49, 9,444.19 and 3,521.96

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Solution

The fourth proportional to 6,293.49, 9,444.19 and 3,521.96 is: 5,285.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,293.49 : 9,444.19 = 3,521.96 : x
  2. Step 2: Convert to fraction form
    6,293.49/9,444.19 = 3,521.96/x
  3. Step 3: Cross multiply
    6,293.49x = 9,444.19 × 3,521.96
  4. Step 4: Simplify right side
    6,293.49x = 33,262,059.41
  5. Step 5: Solve for x
    x = 33,262,059.41/6,293.49
  6. Step 6: Final answer
    x = 5,285.15

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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.