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Finding the Fourth Proportional to 6,574.95, 9,853.62 and 3,238.11

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Solution

The fourth proportional to 6,574.95, 9,853.62 and 3,238.11 is: 4,852.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.95 : 9,853.62 = 3,238.11 : x
  2. Step 2: Convert to fraction form
    6,574.95/9,853.62 = 3,238.11/x
  3. Step 3: Cross multiply
    6,574.95x = 9,853.62 × 3,238.11
  4. Step 4: Simplify right side
    6,574.95x = 31,907,105.46
  5. Step 5: Solve for x
    x = 31,907,105.46/6,574.95
  6. Step 6: Final answer
    x = 4,852.83

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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.