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Finding the Fourth Proportional to 9,552.42, 14,321.70 and 6,424.67

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Solution

The fourth proportional to 9,552.42, 14,321.70 and 6,424.67 is: 9,632.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,552.42 : 14,321.70 = 6,424.67 : x
  2. Step 2: Convert to fraction form
    9,552.42/14,321.70 = 6,424.67/x
  3. Step 3: Cross multiply
    9,552.42x = 14,321.70 × 6,424.67
  4. Step 4: Simplify right side
    9,552.42x = 92,012,124.73
  5. Step 5: Solve for x
    x = 92,012,124.73/9,552.42
  6. Step 6: Final answer
    x = 9,632.34

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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.