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Finding the Fourth Proportional to 9,892.34, 13,651.43 and 5,416.38

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Solution

The fourth proportional to 9,892.34, 13,651.43 and 5,416.38 is: 7,474.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.34 : 13,651.43 = 5,416.38 : x
  2. Step 2: Convert to fraction form
    9,892.34/13,651.43 = 5,416.38/x
  3. Step 3: Cross multiply
    9,892.34x = 13,651.43 × 5,416.38
  4. Step 4: Simplify right side
    9,892.34x = 73,941,282.18
  5. Step 5: Solve for x
    x = 73,941,282.18/9,892.34
  6. Step 6: Final answer
    x = 7,474.60

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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.