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Finding the Fourth Proportional to 9,296.97, 12,825.32 and 6,155.79

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Solution

The fourth proportional to 9,296.97, 12,825.32 and 6,155.79 is: 8,492.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296.97 : 12,825.32 = 6,155.79 : x
  2. Step 2: Convert to fraction form
    9,296.97/12,825.32 = 6,155.79/x
  3. Step 3: Cross multiply
    9,296.97x = 12,825.32 × 6,155.79
  4. Step 4: Simplify right side
    9,296.97x = 78,949,945.82
  5. Step 5: Solve for x
    x = 78,949,945.82/9,296.97
  6. Step 6: Final answer
    x = 8,492.01

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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.