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Finding the Fourth Proportional to 6,357.49, 9,529.75 and 4,504.21

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Solution

The fourth proportional to 6,357.49, 9,529.75 and 4,504.21 is: 6,751.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.49 : 9,529.75 = 4,504.21 : x
  2. Step 2: Convert to fraction form
    6,357.49/9,529.75 = 4,504.21/x
  3. Step 3: Cross multiply
    6,357.49x = 9,529.75 × 4,504.21
  4. Step 4: Simplify right side
    6,357.49x = 42,923,977.05
  5. Step 5: Solve for x
    x = 42,923,977.05/6,357.49
  6. Step 6: Final answer
    x = 6,751.72

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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.