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Finding the Fourth Proportional to 6,765.36, 9,331.50 and 6,207.66

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Solution

The fourth proportional to 6,765.36, 9,331.50 and 6,207.66 is: 8,562.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,765.36 : 9,331.50 = 6,207.66 : x
  2. Step 2: Convert to fraction form
    6,765.36/9,331.50 = 6,207.66/x
  3. Step 3: Cross multiply
    6,765.36x = 9,331.50 × 6,207.66
  4. Step 4: Simplify right side
    6,765.36x = 57,926,779.29
  5. Step 5: Solve for x
    x = 57,926,779.29/6,765.36
  6. Step 6: Final answer
    x = 8,562.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.