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Finding the Fourth Proportional to 6,308.55, 9,461.00 and 2,412.05

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Solution

The fourth proportional to 6,308.55, 9,461.00 and 2,412.05 is: 3,617.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.55 : 9,461.00 = 2,412.05 : x
  2. Step 2: Convert to fraction form
    6,308.55/9,461.00 = 2,412.05/x
  3. Step 3: Cross multiply
    6,308.55x = 9,461.00 × 2,412.05
  4. Step 4: Simplify right side
    6,308.55x = 22,820,363.78
  5. Step 5: Solve for x
    x = 22,820,363.78/6,308.55
  6. Step 6: Final answer
    x = 3,617.37

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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.