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Finding the Fourth Proportional to 9,292.24, 12,834.84 and 6,945.04

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Solution

The fourth proportional to 9,292.24, 12,834.84 and 6,945.04 is: 9,592.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.24 : 12,834.84 = 6,945.04 : x
  2. Step 2: Convert to fraction form
    9,292.24/12,834.84 = 6,945.04/x
  3. Step 3: Cross multiply
    9,292.24x = 12,834.84 × 6,945.04
  4. Step 4: Simplify right side
    9,292.24x = 89,138,477.19
  5. Step 5: Solve for x
    x = 89,138,477.19/9,292.24
  6. Step 6: Final answer
    x = 9,592.79

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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.