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Finding the Fourth Proportional to 9,674.24, 14,577.26 and 7,957.67

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Solution

The fourth proportional to 9,674.24, 14,577.26 and 7,957.67 is: 11,990.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.24 : 14,577.26 = 7,957.67 : x
  2. Step 2: Convert to fraction form
    9,674.24/14,577.26 = 7,957.67/x
  3. Step 3: Cross multiply
    9,674.24x = 14,577.26 × 7,957.67
  4. Step 4: Simplify right side
    9,674.24x = 116,000,911.91
  5. Step 5: Solve for x
    x = 116,000,911.91/9,674.24
  6. Step 6: Final answer
    x = 11,990.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.