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Finding the Fourth Proportional to 6,010.40, 9,014.56 and 1,627.28

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Solution

The fourth proportional to 6,010.40, 9,014.56 and 1,627.28 is: 2,440.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,010.40 : 9,014.56 = 1,627.28 : x
  2. Step 2: Convert to fraction form
    6,010.40/9,014.56 = 1,627.28/x
  3. Step 3: Cross multiply
    6,010.40x = 9,014.56 × 1,627.28
  4. Step 4: Simplify right side
    6,010.40x = 14,669,213.20
  5. Step 5: Solve for x
    x = 14,669,213.20/6,010.40
  6. Step 6: Final answer
    x = 2,440.64

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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.