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Finding the Fourth Proportional to 9,083.84, 13,624.25 and 2,508.53

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Solution

The fourth proportional to 9,083.84, 13,624.25 and 2,508.53 is: 3,762.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,083.84 : 13,624.25 = 2,508.53 : x
  2. Step 2: Convert to fraction form
    9,083.84/13,624.25 = 2,508.53/x
  3. Step 3: Cross multiply
    9,083.84x = 13,624.25 × 2,508.53
  4. Step 4: Simplify right side
    9,083.84x = 34,176,759.19
  5. Step 5: Solve for x
    x = 34,176,759.19/9,083.84
  6. Step 6: Final answer
    x = 3,762.37

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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.