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Finding the Fourth Proportional to 9,209.57, 13,807.56 and 3,285.23

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Solution

The fourth proportional to 9,209.57, 13,807.56 and 3,285.23 is: 4,925.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.57 : 13,807.56 = 3,285.23 : x
  2. Step 2: Convert to fraction form
    9,209.57/13,807.56 = 3,285.23/x
  3. Step 3: Cross multiply
    9,209.57x = 13,807.56 × 3,285.23
  4. Step 4: Simplify right side
    9,209.57x = 45,361,010.34
  5. Step 5: Solve for x
    x = 45,361,010.34/9,209.57
  6. Step 6: Final answer
    x = 4,925.42

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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.