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Finding the Fourth Proportional to 9,154.02, 12,632.46 and 5,175.16

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Solution

The fourth proportional to 9,154.02, 12,632.46 and 5,175.16 is: 7,141.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154.02 : 12,632.46 = 5,175.16 : x
  2. Step 2: Convert to fraction form
    9,154.02/12,632.46 = 5,175.16/x
  3. Step 3: Cross multiply
    9,154.02x = 12,632.46 × 5,175.16
  4. Step 4: Simplify right side
    9,154.02x = 65,375,001.69
  5. Step 5: Solve for x
    x = 65,375,001.69/9,154.02
  6. Step 6: Final answer
    x = 7,141.67

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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.