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Finding the Fourth Proportional to 9,174.75, 12,661.16 and 4,983

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Solution

The fourth proportional to 9,174.75, 12,661.16 and 4,983 is: 6,876.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,174.75 : 12,661.16 = 4,983 : x
  2. Step 2: Convert to fraction form
    9,174.75/12,661.16 = 4,983/x
  3. Step 3: Cross multiply
    9,174.75x = 12,661.16 × 4,983
  4. Step 4: Simplify right side
    9,174.75x = 63,090,535.37
  5. Step 5: Solve for x
    x = 63,090,535.37/9,174.75
  6. Step 6: Final answer
    x = 6,876.54

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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.