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Finding the Fourth Proportional to 9,142.36, 13,714.02 and 2,902.86

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Solution

The fourth proportional to 9,142.36, 13,714.02 and 2,902.86 is: 4,354.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.36 : 13,714.02 = 2,902.86 : x
  2. Step 2: Convert to fraction form
    9,142.36/13,714.02 = 2,902.86/x
  3. Step 3: Cross multiply
    9,142.36x = 13,714.02 × 2,902.86
  4. Step 4: Simplify right side
    9,142.36x = 39,809,880.10
  5. Step 5: Solve for x
    x = 39,809,880.10/9,142.36
  6. Step 6: Final answer
    x = 4,354.44

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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.