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Finding the Fourth Proportional to 9,120.36, 13,679.32 and 2,546

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Solution

The fourth proportional to 9,120.36, 13,679.32 and 2,546 is: 3,818.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,120.36 : 13,679.32 = 2,546 : x
  2. Step 2: Convert to fraction form
    9,120.36/13,679.32 = 2,546/x
  3. Step 3: Cross multiply
    9,120.36x = 13,679.32 × 2,546
  4. Step 4: Simplify right side
    9,120.36x = 34,827,548.72
  5. Step 5: Solve for x
    x = 34,827,548.72/9,120.36
  6. Step 6: Final answer
    x = 3,818.66

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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.