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Finding the Fourth Proportional to 6,296.94, 9,441.14 and 3,525.52

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Solution

The fourth proportional to 6,296.94, 9,441.14 and 3,525.52 is: 5,285.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.94 : 9,441.14 = 3,525.52 : x
  2. Step 2: Convert to fraction form
    6,296.94/9,441.14 = 3,525.52/x
  3. Step 3: Cross multiply
    6,296.94x = 9,441.14 × 3,525.52
  4. Step 4: Simplify right side
    6,296.94x = 33,284,927.89
  5. Step 5: Solve for x
    x = 33,284,927.89/6,296.94
  6. Step 6: Final answer
    x = 5,285.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.