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Finding the Fourth Proportional to 9,735.60, 13,441.60 and 7,493.52

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Solution

The fourth proportional to 9,735.60, 13,441.60 and 7,493.52 is: 10,346.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735.60 : 13,441.60 = 7,493.52 : x
  2. Step 2: Convert to fraction form
    9,735.60/13,441.60 = 7,493.52/x
  3. Step 3: Cross multiply
    9,735.60x = 13,441.60 × 7,493.52
  4. Step 4: Simplify right side
    9,735.60x = 100,724,898.43
  5. Step 5: Solve for x
    x = 100,724,898.43/9,735.60
  6. Step 6: Final answer
    x = 10,346.04

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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.