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Finding the Fourth Proportional to 6,077.21, 9,115.82 and 1,460.21

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Solution

The fourth proportional to 6,077.21, 9,115.82 and 1,460.21 is: 2,190.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,077.21 : 9,115.82 = 1,460.21 : x
  2. Step 2: Convert to fraction form
    6,077.21/9,115.82 = 1,460.21/x
  3. Step 3: Cross multiply
    6,077.21x = 9,115.82 × 1,460.21
  4. Step 4: Simplify right side
    6,077.21x = 13,311,058.99
  5. Step 5: Solve for x
    x = 13,311,058.99/6,077.21
  6. Step 6: Final answer
    x = 2,190.32

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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.