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Finding the Fourth Proportional to 6,532.32, 9,012.12 and 4,174.08

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Solution

The fourth proportional to 6,532.32, 9,012.12 and 4,174.08 is: 5,758.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.32 : 9,012.12 = 4,174.08 : x
  2. Step 2: Convert to fraction form
    6,532.32/9,012.12 = 4,174.08/x
  3. Step 3: Cross multiply
    6,532.32x = 9,012.12 × 4,174.08
  4. Step 4: Simplify right side
    6,532.32x = 37,617,309.85
  5. Step 5: Solve for x
    x = 37,617,309.85/6,532.32
  6. Step 6: Final answer
    x = 5,758.64

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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.