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Finding the Fourth Proportional to 6,556.34, 9,829.35 and 3,267.74

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Solution

The fourth proportional to 6,556.34, 9,829.35 and 3,267.74 is: 4,899.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,556.34 : 9,829.35 = 3,267.74 : x
  2. Step 2: Convert to fraction form
    6,556.34/9,829.35 = 3,267.74/x
  3. Step 3: Cross multiply
    6,556.34x = 9,829.35 × 3,267.74
  4. Step 4: Simplify right side
    6,556.34x = 32,119,784.74
  5. Step 5: Solve for x
    x = 32,119,784.74/6,556.34
  6. Step 6: Final answer
    x = 4,899.04

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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.