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Finding the Fourth Proportional to 10,397.68, 14,344.20 and 6,203.50

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Solution

The fourth proportional to 10,397.68, 14,344.20 and 6,203.50 is: 8,558.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,397.68 : 14,344.20 = 6,203.50 : x
  2. Step 2: Convert to fraction form
    10,397.68/14,344.20 = 6,203.50/x
  3. Step 3: Cross multiply
    10,397.68x = 14,344.20 × 6,203.50
  4. Step 4: Simplify right side
    10,397.68x = 88,984,244.70
  5. Step 5: Solve for x
    x = 88,984,244.70/10,397.68
  6. Step 6: Final answer
    x = 8,558.09

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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.