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Finding the Fourth Proportional to 6,114.36, 9,171.58 and 1,497.36

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Solution

The fourth proportional to 6,114.36, 9,171.58 and 1,497.36 is: 2,246.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.36 : 9,171.58 = 1,497.36 : x
  2. Step 2: Convert to fraction form
    6,114.36/9,171.58 = 1,497.36/x
  3. Step 3: Cross multiply
    6,114.36x = 9,171.58 × 1,497.36
  4. Step 4: Simplify right side
    6,114.36x = 13,733,157.03
  5. Step 5: Solve for x
    x = 13,733,157.03/6,114.36
  6. Step 6: Final answer
    x = 2,246.05

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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.