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Finding the Fourth Proportional to 9,134.18, 13,701.06 and 2,560.22

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Solution

The fourth proportional to 9,134.18, 13,701.06 and 2,560.22 is: 3,840.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,134.18 : 13,701.06 = 2,560.22 : x
  2. Step 2: Convert to fraction form
    9,134.18/13,701.06 = 2,560.22/x
  3. Step 3: Cross multiply
    9,134.18x = 13,701.06 × 2,560.22
  4. Step 4: Simplify right side
    9,134.18x = 35,077,659.33
  5. Step 5: Solve for x
    x = 35,077,659.33/9,134.18
  6. Step 6: Final answer
    x = 3,840.27

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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.