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Finding the Fourth Proportional to 6,174.60, 9,257.80 and 2,889.24

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Solution

The fourth proportional to 6,174.60, 9,257.80 and 2,889.24 is: 4,331.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174.60 : 9,257.80 = 2,889.24 : x
  2. Step 2: Convert to fraction form
    6,174.60/9,257.80 = 2,889.24/x
  3. Step 3: Cross multiply
    6,174.60x = 9,257.80 × 2,889.24
  4. Step 4: Simplify right side
    6,174.60x = 26,748,006.07
  5. Step 5: Solve for x
    x = 26,748,006.07/6,174.60
  6. Step 6: Final answer
    x = 4,331.94

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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.