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Finding the Fourth Proportional to 8,634.74, 11,917.90 and 6,114.20

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Solution

The fourth proportional to 8,634.74, 11,917.90 and 6,114.20 is: 8,438.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,634.74 : 11,917.90 = 6,114.20 : x
  2. Step 2: Convert to fraction form
    8,634.74/11,917.90 = 6,114.20/x
  3. Step 3: Cross multiply
    8,634.74x = 11,917.90 × 6,114.20
  4. Step 4: Simplify right side
    8,634.74x = 72,868,424.18
  5. Step 5: Solve for x
    x = 72,868,424.18/8,634.74
  6. Step 6: Final answer
    x = 8,438.98

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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.