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Finding the Fourth Proportional to 8,673.12, 13,009.64 and 2,099.34

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Solution

The fourth proportional to 8,673.12, 13,009.64 and 2,099.34 is: 3,149.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,673.12 : 13,009.64 = 2,099.34 : x
  2. Step 2: Convert to fraction form
    8,673.12/13,009.64 = 2,099.34/x
  3. Step 3: Cross multiply
    8,673.12x = 13,009.64 × 2,099.34
  4. Step 4: Simplify right side
    8,673.12x = 27,311,647.14
  5. Step 5: Solve for x
    x = 27,311,647.14/8,673.12
  6. Step 6: Final answer
    x = 3,149.00

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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.