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Finding the Fourth Proportional to 6,228.58, 9,332.30 and 3,758.21

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Solution

The fourth proportional to 6,228.58, 9,332.30 and 3,758.21 is: 5,630.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,228.58 : 9,332.30 = 3,758.21 : x
  2. Step 2: Convert to fraction form
    6,228.58/9,332.30 = 3,758.21/x
  3. Step 3: Cross multiply
    6,228.58x = 9,332.30 × 3,758.21
  4. Step 4: Simplify right side
    6,228.58x = 35,072,775.91
  5. Step 5: Solve for x
    x = 35,072,775.91/6,228.58
  6. Step 6: Final answer
    x = 5,630.94

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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.