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Finding the Fourth Proportional to 9,142.64, 13,714.44 and 2,903.12

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Solution

The fourth proportional to 9,142.64, 13,714.44 and 2,903.12 is: 4,354.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.64 : 13,714.44 = 2,903.12 : x
  2. Step 2: Convert to fraction form
    9,142.64/13,714.44 = 2,903.12/x
  3. Step 3: Cross multiply
    9,142.64x = 13,714.44 × 2,903.12
  4. Step 4: Simplify right side
    9,142.64x = 39,814,665.05
  5. Step 5: Solve for x
    x = 39,814,665.05/9,142.64
  6. Step 6: Final answer
    x = 4,354.83

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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.