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Finding the Fourth Proportional to 6,412.10, 9,632.55 and 6,167.30

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Solution

The fourth proportional to 6,412.10, 9,632.55 and 6,167.30 is: 9,264.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.10 : 9,632.55 = 6,167.30 : x
  2. Step 2: Convert to fraction form
    6,412.10/9,632.55 = 6,167.30/x
  3. Step 3: Cross multiply
    6,412.10x = 9,632.55 × 6,167.30
  4. Step 4: Simplify right side
    6,412.10x = 59,406,825.62
  5. Step 5: Solve for x
    x = 59,406,825.62/6,412.10
  6. Step 6: Final answer
    x = 9,264.80

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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.