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Finding the Fourth Proportional to 9,719.64, 13,406.04 and 6,735.60

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Solution

The fourth proportional to 9,719.64, 13,406.04 and 6,735.60 is: 9,290.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,719.64 : 13,406.04 = 6,735.60 : x
  2. Step 2: Convert to fraction form
    9,719.64/13,406.04 = 6,735.60/x
  3. Step 3: Cross multiply
    9,719.64x = 13,406.04 × 6,735.60
  4. Step 4: Simplify right side
    9,719.64x = 90,297,723.02
  5. Step 5: Solve for x
    x = 90,297,723.02/9,719.64
  6. Step 6: Final answer
    x = 9,290.23

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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.