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Finding the Fourth Proportional to 9,174.40, 12,664.54 and 6,194.26

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Solution

The fourth proportional to 9,174.40, 12,664.54 and 6,194.26 is: 8,550.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,174.40 : 12,664.54 = 6,194.26 : x
  2. Step 2: Convert to fraction form
    9,174.40/12,664.54 = 6,194.26/x
  3. Step 3: Cross multiply
    9,174.40x = 12,664.54 × 6,194.26
  4. Step 4: Simplify right side
    9,174.40x = 78,447,477.11
  5. Step 5: Solve for x
    x = 78,447,477.11/9,174.40
  6. Step 6: Final answer
    x = 8,550.70

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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.