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Finding the Fourth Proportional to 9,825.87, 13,559.98 and 5,349.70

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Solution

The fourth proportional to 9,825.87, 13,559.98 and 5,349.70 is: 7,382.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.87 : 13,559.98 = 5,349.70 : x
  2. Step 2: Convert to fraction form
    9,825.87/13,559.98 = 5,349.70/x
  3. Step 3: Cross multiply
    9,825.87x = 13,559.98 × 5,349.70
  4. Step 4: Simplify right side
    9,825.87x = 72,541,825.01
  5. Step 5: Solve for x
    x = 72,541,825.01/9,825.87
  6. Step 6: Final answer
    x = 7,382.74

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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.