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Finding the Fourth Proportional to 6,154.12, 9,229.06 and 1,770.40

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Solution

The fourth proportional to 6,154.12, 9,229.06 and 1,770.40 is: 2,654.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.12 : 9,229.06 = 1,770.40 : x
  2. Step 2: Convert to fraction form
    6,154.12/9,229.06 = 1,770.40/x
  3. Step 3: Cross multiply
    6,154.12x = 9,229.06 × 1,770.40
  4. Step 4: Simplify right side
    6,154.12x = 16,339,127.82
  5. Step 5: Solve for x
    x = 16,339,127.82/6,154.12
  6. Step 6: Final answer
    x = 2,654.99

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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.