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Finding the Fourth Proportional to 9,677.44, 14,513.28 and 3,520

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Solution

The fourth proportional to 9,677.44, 14,513.28 and 3,520 is: 5,278.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.44 : 14,513.28 = 3,520 : x
  2. Step 2: Convert to fraction form
    9,677.44/14,513.28 = 3,520/x
  3. Step 3: Cross multiply
    9,677.44x = 14,513.28 × 3,520
  4. Step 4: Simplify right side
    9,677.44x = 51,086,745.60
  5. Step 5: Solve for x
    x = 51,086,745.60/9,677.44
  6. Step 6: Final answer
    x = 5,278.95

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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.