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Finding the Fourth Proportional to 6,334.46, 9,499.66 and 3,045.46

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Solution

The fourth proportional to 6,334.46, 9,499.66 and 3,045.46 is: 4,567.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334.46 : 9,499.66 = 3,045.46 : x
  2. Step 2: Convert to fraction form
    6,334.46/9,499.66 = 3,045.46/x
  3. Step 3: Cross multiply
    6,334.46x = 9,499.66 × 3,045.46
  4. Step 4: Simplify right side
    6,334.46x = 28,930,834.54
  5. Step 5: Solve for x
    x = 28,930,834.54/6,334.46
  6. Step 6: Final answer
    x = 4,567.21

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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.