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Finding the Fourth Proportional to 6,556.98, 9,829.08 and 4,210.42

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Solution

The fourth proportional to 6,556.98, 9,829.08 and 4,210.42 is: 6,311.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,556.98 : 9,829.08 = 4,210.42 : x
  2. Step 2: Convert to fraction form
    6,556.98/9,829.08 = 4,210.42/x
  3. Step 3: Cross multiply
    6,556.98x = 9,829.08 × 4,210.42
  4. Step 4: Simplify right side
    6,556.98x = 41,384,555.01
  5. Step 5: Solve for x
    x = 41,384,555.01/6,556.98
  6. Step 6: Final answer
    x = 6,311.53

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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.