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Finding the Fourth Proportional to 9,719.46, 13,410.90 and 5,739.12

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Solution

The fourth proportional to 9,719.46, 13,410.90 and 5,739.12 is: 7,918.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,719.46 : 13,410.90 = 5,739.12 : x
  2. Step 2: Convert to fraction form
    9,719.46/13,410.90 = 5,739.12/x
  3. Step 3: Cross multiply
    9,719.46x = 13,410.90 × 5,739.12
  4. Step 4: Simplify right side
    9,719.46x = 76,966,764.41
  5. Step 5: Solve for x
    x = 76,966,764.41/9,719.46
  6. Step 6: Final answer
    x = 7,918.83

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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.