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Finding the Fourth Proportional to 9,655.26, 14,481.54 and 3,415.02

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Solution

The fourth proportional to 9,655.26, 14,481.54 and 3,415.02 is: 5,122.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,655.26 : 14,481.54 = 3,415.02 : x
  2. Step 2: Convert to fraction form
    9,655.26/14,481.54 = 3,415.02/x
  3. Step 3: Cross multiply
    9,655.26x = 14,481.54 × 3,415.02
  4. Step 4: Simplify right side
    9,655.26x = 49,454,748.73
  5. Step 5: Solve for x
    x = 49,454,748.73/9,655.26
  6. Step 6: Final answer
    x = 5,122.05

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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.