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Finding the Fourth Proportional to 9,838.56, 13,575.66 and 5,530.80

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Solution

The fourth proportional to 9,838.56, 13,575.66 and 5,530.80 is: 7,631.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.56 : 13,575.66 = 5,530.80 : x
  2. Step 2: Convert to fraction form
    9,838.56/13,575.66 = 5,530.80/x
  3. Step 3: Cross multiply
    9,838.56x = 13,575.66 × 5,530.80
  4. Step 4: Simplify right side
    9,838.56x = 75,084,260.33
  5. Step 5: Solve for x
    x = 75,084,260.33/9,838.56
  6. Step 6: Final answer
    x = 7,631.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.