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Finding the Fourth Proportional to 9,847, 13,588.98 and 5,655.64

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Solution

The fourth proportional to 9,847, 13,588.98 and 5,655.64 is: 7,804.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847 : 13,588.98 = 5,655.64 : x
  2. Step 2: Convert to fraction form
    9,847/13,588.98 = 5,655.64/x
  3. Step 3: Cross multiply
    9,847x = 13,588.98 × 5,655.64
  4. Step 4: Simplify right side
    9,847x = 76,854,378.85
  5. Step 5: Solve for x
    x = 76,854,378.85/9,847
  6. Step 6: Final answer
    x = 7,804.85

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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.