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Finding the Fourth Proportional to 9,142.57, 13,714.77 and 2,900.96

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Solution

The fourth proportional to 9,142.57, 13,714.77 and 2,900.96 is: 4,351.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.57 : 13,714.77 = 2,900.96 : x
  2. Step 2: Convert to fraction form
    9,142.57/13,714.77 = 2,900.96/x
  3. Step 3: Cross multiply
    9,142.57x = 13,714.77 × 2,900.96
  4. Step 4: Simplify right side
    9,142.57x = 39,786,053.74
  5. Step 5: Solve for x
    x = 39,786,053.74/9,142.57
  6. Step 6: Final answer
    x = 4,351.74

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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.