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Finding the Fourth Proportional to 9,153.75, 12,632.02 and 5,120.67

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Solution

The fourth proportional to 9,153.75, 12,632.02 and 5,120.67 is: 7,066.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,153.75 : 12,632.02 = 5,120.67 : x
  2. Step 2: Convert to fraction form
    9,153.75/12,632.02 = 5,120.67/x
  3. Step 3: Cross multiply
    9,153.75x = 12,632.02 × 5,120.67
  4. Step 4: Simplify right side
    9,153.75x = 64,684,469.23
  5. Step 5: Solve for x
    x = 64,684,469.23/9,153.75
  6. Step 6: Final answer
    x = 7,066.44

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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.