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Finding the Fourth Proportional to 9,083.14, 13,624.57 and 2,509.18

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Solution

The fourth proportional to 9,083.14, 13,624.57 and 2,509.18 is: 3,763.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,083.14 : 13,624.57 = 2,509.18 : x
  2. Step 2: Convert to fraction form
    9,083.14/13,624.57 = 2,509.18/x
  3. Step 3: Cross multiply
    9,083.14x = 13,624.57 × 2,509.18
  4. Step 4: Simplify right side
    9,083.14x = 34,186,424.16
  5. Step 5: Solve for x
    x = 34,186,424.16/9,083.14
  6. Step 6: Final answer
    x = 3,763.73

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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.