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Finding the Fourth Proportional to 9,324.42, 12,866.36 and 5,132.67

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Solution

The fourth proportional to 9,324.42, 12,866.36 and 5,132.67 is: 7,082.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,324.42 : 12,866.36 = 5,132.67 : x
  2. Step 2: Convert to fraction form
    9,324.42/12,866.36 = 5,132.67/x
  3. Step 3: Cross multiply
    9,324.42x = 12,866.36 × 5,132.67
  4. Step 4: Simplify right side
    9,324.42x = 66,038,754.32
  5. Step 5: Solve for x
    x = 66,038,754.32/9,324.42
  6. Step 6: Final answer
    x = 7,082.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.