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Finding the Fourth Proportional to 9,166.79, 12,626.96 and 7,674.17

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Solution

The fourth proportional to 9,166.79, 12,626.96 and 7,674.17 is: 10,570.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.79 : 12,626.96 = 7,674.17 : x
  2. Step 2: Convert to fraction form
    9,166.79/12,626.96 = 7,674.17/x
  3. Step 3: Cross multiply
    9,166.79x = 12,626.96 × 7,674.17
  4. Step 4: Simplify right side
    9,166.79x = 96,901,336.12
  5. Step 5: Solve for x
    x = 96,901,336.12/9,166.79
  6. Step 6: Final answer
    x = 10,570.91

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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.