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Finding the Fourth Proportional to 9,203.63, 12,704.90 and 6,223.50

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Solution

The fourth proportional to 9,203.63, 12,704.90 and 6,223.50 is: 8,591.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,203.63 : 12,704.90 = 6,223.50 : x
  2. Step 2: Convert to fraction form
    9,203.63/12,704.90 = 6,223.50/x
  3. Step 3: Cross multiply
    9,203.63x = 12,704.90 × 6,223.50
  4. Step 4: Simplify right side
    9,203.63x = 79,068,914.03
  5. Step 5: Solve for x
    x = 79,068,914.03/9,203.63
  6. Step 6: Final answer
    x = 8,591.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.