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Finding the Fourth Proportional to 6,520.89, 9,784.71 and 3,233.91

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Solution

The fourth proportional to 6,520.89, 9,784.71 and 3,233.91 is: 4,852.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.89 : 9,784.71 = 3,233.91 : x
  2. Step 2: Convert to fraction form
    6,520.89/9,784.71 = 3,233.91/x
  3. Step 3: Cross multiply
    6,520.89x = 9,784.71 × 3,233.91
  4. Step 4: Simplify right side
    6,520.89x = 31,642,871.52
  5. Step 5: Solve for x
    x = 31,642,871.52/6,520.89
  6. Step 6: Final answer
    x = 4,852.54

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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.