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Finding the Fourth Proportional to 6,520.24, 9,001.83 and 4,285.86

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Solution

The fourth proportional to 6,520.24, 9,001.83 and 4,285.86 is: 5,917.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.24 : 9,001.83 = 4,285.86 : x
  2. Step 2: Convert to fraction form
    6,520.24/9,001.83 = 4,285.86/x
  3. Step 3: Cross multiply
    6,520.24x = 9,001.83 × 4,285.86
  4. Step 4: Simplify right side
    6,520.24x = 38,580,583.12
  5. Step 5: Solve for x
    x = 38,580,583.12/6,520.24
  6. Step 6: Final answer
    x = 5,917.05

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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.