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Finding the Fourth Proportional to 9,083.13, 13,624.69 and 2,419.63

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Solution

The fourth proportional to 9,083.13, 13,624.69 and 2,419.63 is: 3,629.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,083.13 : 13,624.69 = 2,419.63 : x
  2. Step 2: Convert to fraction form
    9,083.13/13,624.69 = 2,419.63/x
  3. Step 3: Cross multiply
    9,083.13x = 13,624.69 × 2,419.63
  4. Step 4: Simplify right side
    9,083.13x = 32,966,708.66
  5. Step 5: Solve for x
    x = 32,966,708.66/9,083.13
  6. Step 6: Final answer
    x = 3,629.44

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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.