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Finding the Fourth Proportional to 6,189.32, 9,266.29 and 5,796.52

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Solution

The fourth proportional to 6,189.32, 9,266.29 and 5,796.52 is: 8,678.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.32 : 9,266.29 = 5,796.52 : x
  2. Step 2: Convert to fraction form
    6,189.32/9,266.29 = 5,796.52/x
  3. Step 3: Cross multiply
    6,189.32x = 9,266.29 × 5,796.52
  4. Step 4: Simplify right side
    6,189.32x = 53,712,254.66
  5. Step 5: Solve for x
    x = 53,712,254.66/6,189.32
  6. Step 6: Final answer
    x = 8,678.21

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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.