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Finding the Fourth Proportional to 6,189.96, 9,264.87 and 4,546.14

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Solution

The fourth proportional to 6,189.96, 9,264.87 and 4,546.14 is: 6,804.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.96 : 9,264.87 = 4,546.14 : x
  2. Step 2: Convert to fraction form
    6,189.96/9,264.87 = 4,546.14/x
  3. Step 3: Cross multiply
    6,189.96x = 9,264.87 × 4,546.14
  4. Step 4: Simplify right side
    6,189.96x = 42,119,396.10
  5. Step 5: Solve for x
    x = 42,119,396.10/6,189.96
  6. Step 6: Final answer
    x = 6,804.47

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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.