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Finding the Fourth Proportional to 9,200.65, 13,794.10 and 2,957.10

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Solution

The fourth proportional to 9,200.65, 13,794.10 and 2,957.10 is: 4,433.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.65 : 13,794.10 = 2,957.10 : x
  2. Step 2: Convert to fraction form
    9,200.65/13,794.10 = 2,957.10/x
  3. Step 3: Cross multiply
    9,200.65x = 13,794.10 × 2,957.10
  4. Step 4: Simplify right side
    9,200.65x = 40,790,533.11
  5. Step 5: Solve for x
    x = 40,790,533.11/9,200.65
  6. Step 6: Final answer
    x = 4,433.44

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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.