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Finding the Fourth Proportional to 9,735.60, 14,601.77 and 3,494.46

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Solution

The fourth proportional to 9,735.60, 14,601.77 and 3,494.46 is: 5,241.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735.60 : 14,601.77 = 3,494.46 : x
  2. Step 2: Convert to fraction form
    9,735.60/14,601.77 = 3,494.46/x
  3. Step 3: Cross multiply
    9,735.60x = 14,601.77 × 3,494.46
  4. Step 4: Simplify right side
    9,735.60x = 51,025,301.19
  5. Step 5: Solve for x
    x = 51,025,301.19/9,735.60
  6. Step 6: Final answer
    x = 5,241.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.