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Finding the Fourth Proportional to 6,114.30, 9,171.42 and 1,497.30

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Solution

The fourth proportional to 6,114.30, 9,171.42 and 1,497.30 is: 2,245.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.30 : 9,171.42 = 1,497.30 : x
  2. Step 2: Convert to fraction form
    6,114.30/9,171.42 = 1,497.30/x
  3. Step 3: Cross multiply
    6,114.30x = 9,171.42 × 1,497.30
  4. Step 4: Simplify right side
    6,114.30x = 13,732,367.17
  5. Step 5: Solve for x
    x = 13,732,367.17/6,114.30
  6. Step 6: Final answer
    x = 2,245.94

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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.