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Finding the Fourth Proportional to 9,801.54, 13,524 and 5,823.98

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Solution

The fourth proportional to 9,801.54, 13,524 and 5,823.98 is: 8,035.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.54 : 13,524 = 5,823.98 : x
  2. Step 2: Convert to fraction form
    9,801.54/13,524 = 5,823.98/x
  3. Step 3: Cross multiply
    9,801.54x = 13,524 × 5,823.98
  4. Step 4: Simplify right side
    9,801.54x = 78,763,505.52
  5. Step 5: Solve for x
    x = 78,763,505.52/9,801.54
  6. Step 6: Final answer
    x = 8,035.83

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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.