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Finding the Fourth Proportional to 9,493.60, 14,206.80 and 8,274.40

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Solution

The fourth proportional to 9,493.60, 14,206.80 and 8,274.40 is: 12,382.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,493.60 : 14,206.80 = 8,274.40 : x
  2. Step 2: Convert to fraction form
    9,493.60/14,206.80 = 8,274.40/x
  3. Step 3: Cross multiply
    9,493.60x = 14,206.80 × 8,274.40
  4. Step 4: Simplify right side
    9,493.60x = 117,552,745.92
  5. Step 5: Solve for x
    x = 117,552,745.92/9,493.60
  6. Step 6: Final answer
    x = 12,382.32

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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.