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Finding the Fourth Proportional to 9,142.94, 13,714.89 and 2,903.44

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Solution

The fourth proportional to 9,142.94, 13,714.89 and 2,903.44 is: 4,355.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.94 : 13,714.89 = 2,903.44 : x
  2. Step 2: Convert to fraction form
    9,142.94/13,714.89 = 2,903.44/x
  3. Step 3: Cross multiply
    9,142.94x = 13,714.89 × 2,903.44
  4. Step 4: Simplify right side
    9,142.94x = 39,820,366.48
  5. Step 5: Solve for x
    x = 39,820,366.48/9,142.94
  6. Step 6: Final answer
    x = 4,355.31

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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.