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Finding the Fourth Proportional to 9,825.94, 13,559.74 and 5,349.68

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Solution

The fourth proportional to 9,825.94, 13,559.74 and 5,349.68 is: 7,382.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.94 : 13,559.74 = 5,349.68 : x
  2. Step 2: Convert to fraction form
    9,825.94/13,559.74 = 5,349.68/x
  3. Step 3: Cross multiply
    9,825.94x = 13,559.74 × 5,349.68
  4. Step 4: Simplify right side
    9,825.94x = 72,540,269.88
  5. Step 5: Solve for x
    x = 72,540,269.88/9,825.94
  6. Step 6: Final answer
    x = 7,382.53

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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.