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Finding the Fourth Proportional to 6,200.10, 9,289.35 and 5,228.10

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Solution

The fourth proportional to 6,200.10, 9,289.35 and 5,228.10 is: 7,833.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,200.10 : 9,289.35 = 5,228.10 : x
  2. Step 2: Convert to fraction form
    6,200.10/9,289.35 = 5,228.10/x
  3. Step 3: Cross multiply
    6,200.10x = 9,289.35 × 5,228.10
  4. Step 4: Simplify right side
    6,200.10x = 48,565,650.74
  5. Step 5: Solve for x
    x = 48,565,650.74/6,200.10
  6. Step 6: Final answer
    x = 7,833.04

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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.