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Finding the Fourth Proportional to 8,334.78, 12,505.05 and 3,142.14

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Solution

The fourth proportional to 8,334.78, 12,505.05 and 3,142.14 is: 4,714.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,334.78 : 12,505.05 = 3,142.14 : x
  2. Step 2: Convert to fraction form
    8,334.78/12,505.05 = 3,142.14/x
  3. Step 3: Cross multiply
    8,334.78x = 12,505.05 × 3,142.14
  4. Step 4: Simplify right side
    8,334.78x = 39,292,617.81
  5. Step 5: Solve for x
    x = 39,292,617.81/8,334.78
  6. Step 6: Final answer
    x = 4,714.30

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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.