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Finding the Fourth Proportional to 9,170.82, 13,745.30 and 4,780.42

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Solution

The fourth proportional to 9,170.82, 13,745.30 and 4,780.42 is: 7,164.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,170.82 : 13,745.30 = 4,780.42 : x
  2. Step 2: Convert to fraction form
    9,170.82/13,745.30 = 4,780.42/x
  3. Step 3: Cross multiply
    9,170.82x = 13,745.30 × 4,780.42
  4. Step 4: Simplify right side
    9,170.82x = 65,708,248.76
  5. Step 5: Solve for x
    x = 65,708,248.76/9,170.82
  6. Step 6: Final answer
    x = 7,164.93

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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.