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Finding the Fourth Proportional to 9,083.26, 13,624.92 and 2,509.30

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Solution

The fourth proportional to 9,083.26, 13,624.92 and 2,509.30 is: 3,763.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,083.26 : 13,624.92 = 2,509.30 : x
  2. Step 2: Convert to fraction form
    9,083.26/13,624.92 = 2,509.30/x
  3. Step 3: Cross multiply
    9,083.26x = 13,624.92 × 2,509.30
  4. Step 4: Simplify right side
    9,083.26x = 34,189,011.76
  5. Step 5: Solve for x
    x = 34,189,011.76/9,083.26
  6. Step 6: Final answer
    x = 3,763.96

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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.