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Finding the Fourth Proportional to 9,503.45, 14,257.49 and 6,697.76

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Solution

The fourth proportional to 9,503.45, 14,257.49 and 6,697.76 is: 10,048.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,503.45 : 14,257.49 = 6,697.76 : x
  2. Step 2: Convert to fraction form
    9,503.45/14,257.49 = 6,697.76/x
  3. Step 3: Cross multiply
    9,503.45x = 14,257.49 × 6,697.76
  4. Step 4: Simplify right side
    9,503.45x = 95,493,191.68
  5. Step 5: Solve for x
    x = 95,493,191.68/9,503.45
  6. Step 6: Final answer
    x = 10,048.27

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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.