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Finding the Fourth Proportional to 6,591.25, 9,098.09 and 4,733.65

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Solution

The fourth proportional to 6,591.25, 9,098.09 and 4,733.65 is: 6,533.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,591.25 : 9,098.09 = 4,733.65 : x
  2. Step 2: Convert to fraction form
    6,591.25/9,098.09 = 4,733.65/x
  3. Step 3: Cross multiply
    6,591.25x = 9,098.09 × 4,733.65
  4. Step 4: Simplify right side
    6,591.25x = 43,067,173.73
  5. Step 5: Solve for x
    x = 43,067,173.73/6,591.25
  6. Step 6: Final answer
    x = 6,533.99

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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.