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Finding the Fourth Proportional to 9,840.34, 13,579.98 and 5,591.58

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Solution

The fourth proportional to 9,840.34, 13,579.98 and 5,591.58 is: 7,716.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,840.34 : 13,579.98 = 5,591.58 : x
  2. Step 2: Convert to fraction form
    9,840.34/13,579.98 = 5,591.58/x
  3. Step 3: Cross multiply
    9,840.34x = 13,579.98 × 5,591.58
  4. Step 4: Simplify right side
    9,840.34x = 75,933,544.57
  5. Step 5: Solve for x
    x = 75,933,544.57/9,840.34
  6. Step 6: Final answer
    x = 7,716.56

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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.