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Finding the Fourth Proportional to 9,205.17, 13,807.80 and 2,631.30

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Solution

The fourth proportional to 9,205.17, 13,807.80 and 2,631.30 is: 3,946.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.17 : 13,807.80 = 2,631.30 : x
  2. Step 2: Convert to fraction form
    9,205.17/13,807.80 = 2,631.30/x
  3. Step 3: Cross multiply
    9,205.17x = 13,807.80 × 2,631.30
  4. Step 4: Simplify right side
    9,205.17x = 36,332,464.14
  5. Step 5: Solve for x
    x = 36,332,464.14/9,205.17
  6. Step 6: Final answer
    x = 3,946.96

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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.