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Finding the Fourth Proportional to 6,402.72, 9,600.27 and 3,112.50

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Solution

The fourth proportional to 6,402.72, 9,600.27 and 3,112.50 is: 4,666.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.72 : 9,600.27 = 3,112.50 : x
  2. Step 2: Convert to fraction form
    6,402.72/9,600.27 = 3,112.50/x
  3. Step 3: Cross multiply
    6,402.72x = 9,600.27 × 3,112.50
  4. Step 4: Simplify right side
    6,402.72x = 29,880,840.38
  5. Step 5: Solve for x
    x = 29,880,840.38/6,402.72
  6. Step 6: Final answer
    x = 4,666.90

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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.