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Finding the Fourth Proportional to 9,141.55, 13,714.27 and 2,900.75

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Solution

The fourth proportional to 9,141.55, 13,714.27 and 2,900.75 is: 4,351.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.55 : 13,714.27 = 2,900.75 : x
  2. Step 2: Convert to fraction form
    9,141.55/13,714.27 = 2,900.75/x
  3. Step 3: Cross multiply
    9,141.55x = 13,714.27 × 2,900.75
  4. Step 4: Simplify right side
    9,141.55x = 39,781,592.88
  5. Step 5: Solve for x
    x = 39,781,592.88/9,141.55
  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.