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Finding the Fourth Proportional to 8,917.56, 12,309.33 and 5,142.24

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Solution

The fourth proportional to 8,917.56, 12,309.33 and 5,142.24 is: 7,098.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,917.56 : 12,309.33 = 5,142.24 : x
  2. Step 2: Convert to fraction form
    8,917.56/12,309.33 = 5,142.24/x
  3. Step 3: Cross multiply
    8,917.56x = 12,309.33 × 5,142.24
  4. Step 4: Simplify right side
    8,917.56x = 63,297,529.10
  5. Step 5: Solve for x
    x = 63,297,529.10/8,917.56
  6. Step 6: Final answer
    x = 7,098.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.