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Finding the Fourth Proportional to 9,651.42, 13,317.33 and 5,401.62

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Solution

The fourth proportional to 9,651.42, 13,317.33 and 5,401.62 is: 7,453.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,651.42 : 13,317.33 = 5,401.62 : x
  2. Step 2: Convert to fraction form
    9,651.42/13,317.33 = 5,401.62/x
  3. Step 3: Cross multiply
    9,651.42x = 13,317.33 × 5,401.62
  4. Step 4: Simplify right side
    9,651.42x = 71,935,156.07
  5. Step 5: Solve for x
    x = 71,935,156.07/9,651.42
  6. Step 6: Final answer
    x = 7,453.32

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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.