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Finding the Fourth Proportional to 9,825.39, 13,558.89 and 5,349.17

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Solution

The fourth proportional to 9,825.39, 13,558.89 and 5,349.17 is: 7,381.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.39 : 13,558.89 = 5,349.17 : x
  2. Step 2: Convert to fraction form
    9,825.39/13,558.89 = 5,349.17/x
  3. Step 3: Cross multiply
    9,825.39x = 13,558.89 × 5,349.17
  4. Step 4: Simplify right side
    9,825.39x = 72,528,807.62
  5. Step 5: Solve for x
    x = 72,528,807.62/9,825.39
  6. Step 6: Final answer
    x = 7,381.78

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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.