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Finding the Fourth Proportional to 9,847.94, 13,592.49 and 5,658.62

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Solution

The fourth proportional to 9,847.94, 13,592.49 and 5,658.62 is: 7,810.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.94 : 13,592.49 = 5,658.62 : x
  2. Step 2: Convert to fraction form
    9,847.94/13,592.49 = 5,658.62/x
  3. Step 3: Cross multiply
    9,847.94x = 13,592.49 × 5,658.62
  4. Step 4: Simplify right side
    9,847.94x = 76,914,735.76
  5. Step 5: Solve for x
    x = 76,914,735.76/9,847.94
  6. Step 6: Final answer
    x = 7,810.24

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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.