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Finding the Fourth Proportional to 6,298.67, 9,441.85 and 2,347.04

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Solution

The fourth proportional to 6,298.67, 9,441.85 and 2,347.04 is: 3,518.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.67 : 9,441.85 = 2,347.04 : x
  2. Step 2: Convert to fraction form
    6,298.67/9,441.85 = 2,347.04/x
  3. Step 3: Cross multiply
    6,298.67x = 9,441.85 × 2,347.04
  4. Step 4: Simplify right side
    6,298.67x = 22,160,399.62
  5. Step 5: Solve for x
    x = 22,160,399.62/6,298.67
  6. Step 6: Final answer
    x = 3,518.27

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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.