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Finding the Fourth Proportional to 6,203.76, 9,289.08 and 5,219.61

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Solution

The fourth proportional to 6,203.76, 9,289.08 and 5,219.61 is: 7,815.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,203.76 : 9,289.08 = 5,219.61 : x
  2. Step 2: Convert to fraction form
    6,203.76/9,289.08 = 5,219.61/x
  3. Step 3: Cross multiply
    6,203.76x = 9,289.08 × 5,219.61
  4. Step 4: Simplify right side
    6,203.76x = 48,485,374.86
  5. Step 5: Solve for x
    x = 48,485,374.86/6,203.76
  6. Step 6: Final answer
    x = 7,815.48

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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.