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Finding the Fourth Proportional to 6,412.68, 9,614.16 and 2,952.36

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Solution

The fourth proportional to 6,412.68, 9,614.16 and 2,952.36 is: 4,426.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.68 : 9,614.16 = 2,952.36 : x
  2. Step 2: Convert to fraction form
    6,412.68/9,614.16 = 2,952.36/x
  3. Step 3: Cross multiply
    6,412.68x = 9,614.16 × 2,952.36
  4. Step 4: Simplify right side
    6,412.68x = 28,384,461.42
  5. Step 5: Solve for x
    x = 28,384,461.42/6,412.68
  6. Step 6: Final answer
    x = 4,426.30

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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.