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Finding the Fourth Proportional to 9,284.70, 13,894.50 and 6,655.10

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Solution

The fourth proportional to 9,284.70, 13,894.50 and 6,655.10 is: 9,959.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284.70 : 13,894.50 = 6,655.10 : x
  2. Step 2: Convert to fraction form
    9,284.70/13,894.50 = 6,655.10/x
  3. Step 3: Cross multiply
    9,284.70x = 13,894.50 × 6,655.10
  4. Step 4: Simplify right side
    9,284.70x = 92,469,286.95
  5. Step 5: Solve for x
    x = 92,469,286.95/9,284.70
  6. Step 6: Final answer
    x = 9,959.32

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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.