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Finding the Fourth Proportional to 6,412.54, 9,624.82 and 3,952.18

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Solution

The fourth proportional to 6,412.54, 9,624.82 and 3,952.18 is: 5,931.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.54 : 9,624.82 = 3,952.18 : x
  2. Step 2: Convert to fraction form
    6,412.54/9,624.82 = 3,952.18/x
  3. Step 3: Cross multiply
    6,412.54x = 9,624.82 × 3,952.18
  4. Step 4: Simplify right side
    6,412.54x = 38,039,021.11
  5. Step 5: Solve for x
    x = 38,039,021.11/6,412.54
  6. Step 6: Final answer
    x = 5,931.97

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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.