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Finding the Fourth Proportional to 9,449.96, 14,175.41 and 6,688.98

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Solution

The fourth proportional to 9,449.96, 14,175.41 and 6,688.98 is: 10,033.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,449.96 : 14,175.41 = 6,688.98 : x
  2. Step 2: Convert to fraction form
    9,449.96/14,175.41 = 6,688.98/x
  3. Step 3: Cross multiply
    9,449.96x = 14,175.41 × 6,688.98
  4. Step 4: Simplify right side
    9,449.96x = 94,819,000.54
  5. Step 5: Solve for x
    x = 94,819,000.54/9,449.96
  6. Step 6: Final answer
    x = 10,033.80

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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.