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Finding the Fourth Proportional to 9,139.96, 13,714.22 and 4,755.08

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Solution

The fourth proportional to 9,139.96, 13,714.22 and 4,755.08 is: 7,134.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,139.96 : 13,714.22 = 4,755.08 : x
  2. Step 2: Convert to fraction form
    9,139.96/13,714.22 = 4,755.08/x
  3. Step 3: Cross multiply
    9,139.96x = 13,714.22 × 4,755.08
  4. Step 4: Simplify right side
    9,139.96x = 65,212,213.24
  5. Step 5: Solve for x
    x = 65,212,213.24/9,139.96
  6. Step 6: Final answer
    x = 7,134.85

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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.