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Finding the Fourth Proportional to 9,207.57, 13,804.56 and 3,283.23

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Solution

The fourth proportional to 9,207.57, 13,804.56 and 3,283.23 is: 4,922.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,207.57 : 13,804.56 = 3,283.23 : x
  2. Step 2: Convert to fraction form
    9,207.57/13,804.56 = 3,283.23/x
  3. Step 3: Cross multiply
    9,207.57x = 13,804.56 × 3,283.23
  4. Step 4: Simplify right side
    9,207.57x = 45,323,545.53
  5. Step 5: Solve for x
    x = 45,323,545.53/9,207.57
  6. Step 6: Final answer
    x = 4,922.42

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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.