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Finding the Fourth Proportional to 6,591.29, 9,105.85 and 4,328.00

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Solution

The fourth proportional to 6,591.29, 9,105.85 and 4,328.00 is: 5,979.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,591.29 : 9,105.85 = 4,328.00 : x
  2. Step 2: Convert to fraction form
    6,591.29/9,105.85 = 4,328.00/x
  3. Step 3: Cross multiply
    6,591.29x = 9,105.85 × 4,328.00
  4. Step 4: Simplify right side
    6,591.29x = 39,410,112.83
  5. Step 5: Solve for x
    x = 39,410,112.83/6,591.29
  6. Step 6: Final answer
    x = 5,979.12

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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.